1.
Persamaan y = 3x +2
maka garis titik potong sumbu y atau jika nilai x=o adalah
Correct Answer
B. 2
Explanation
The given equation is in the form y = mx + c, where m is the slope and c is the y-intercept. In this equation, the slope is 3 and the y-intercept is 2. To find the y-intercept, we substitute x = 0 into the equation. So, y = 3(0) + 2 = 2. Therefore, the line intersects the y-axis at y = 2.
2.
Ciri sebuah persamaaan adalah
Correct Answer
A. Memiliki tanda sama dengan
Explanation
The correct answer is "memiliki tanda sama dengan". This means that an equation has an equal sign, indicating that the expression on the left side is equal to the expression on the right side. This is a fundamental characteristic of an equation, distinguishing it from other types of mathematical statements or expressions.
3.
Dibahaw ini adalah bentuk persamaan garis lurus ....
Correct Answer
A. Y= 2x
4.
Apa yang dimaksud gradien ....
Correct Answer
D. Kemiringan garis
Explanation
The correct answer is "kemiringan garis". This term refers to the slope or incline of a line. It measures how steep or gradual a line is. The gradient of a straight line is determined by the change in y-coordinates divided by the change in x-coordinates between two points on the line. It indicates the rate at which the line is rising or falling.
5.
Gradien dilambang dengan....
Correct Answer
B. M
Explanation
The correct answer is "m" because "gradien" is the Indonesian term for "gradient" in English. In mathematics, the gradient is a measure of how steep a line or a curve is. In the given question, "m" is positioned between "p" and "n," indicating that it represents the gradient between those two points.
6.
Rumus gradien yang melewati satu titik (0,0) dan (x,y) adalah ....
Correct Answer
A. Y/x
Explanation
The correct answer is y/x. This is because the formula for calculating the gradient (slope) of a line passing through two points (0,0) and (x,y) is given by the change in y divided by the change in x, which is represented by y/x.
7.
Gradien yang melewati titik (0,0) dan (-4,-8) adalh
Correct Answer
C. 2
Explanation
The gradient passing through the points (0,0) and (-4,-8) can be found using the formula (y2-y1)/(x2-x1). By substituting the values, we get (-8-0)/(-4-0) = -8/-4 = 2. Therefore, the correct answer is 2.
8.
Jika suatu gradien memilki nilai yang sama maka gradien garis tersebut adalah.....
Correct Answer
B. Sejajar
Explanation
If two gradients have the same value, it means that the lines represented by those gradients have the same steepness or slope. When two lines have the same slope, they are parallel to each other. Therefore, the correct answer is "sejajar," which means parallel in English.
9.
Hitung gradien yang melalui garis (-3,3) dan (6,0) adalah......
Correct Answer
B. 1/3
Explanation
The gradient, or slope, of a line can be calculated using the formula (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of two points on the line. In this case, the coordinates given are (-3,3) and (6,0). Plugging these values into the formula, we get (0 - 3) / (6 - (-3)) = -3/9 = -1/3. Therefore, the correct answer is 1/3.
10.
Rumus gradien yang berbentuk persamaan ax+by +c = 0 adalah ....
Correct Answer
A. Y = mx + c
Explanation
The given equation is in the form "ax + by + c = 0", which represents a linear equation. The general form of a linear equation is "y = mx + c", where "m" represents the slope of the line and "c" represents the y-intercept. Therefore, the correct answer is "y = mx + c".
11.
Jika ada persamaan 2x - 6 y + 7 = 0 nilai gradiennya adlah ....
Correct Answer
D. 1/3
Explanation
The correct answer is 1/3. The given equation is in the form of a linear equation, y = mx + c, where m represents the gradient. By rearranging the equation, we can determine the gradient by dividing the coefficient of x by the coefficient of y. In this case, the coefficient of x is 2 and the coefficient of y is -6. Dividing 2 by -6 gives us -1/3, which is the negative reciprocal of the gradient. Therefore, the gradient is 1/3.
12.
Dua garis akan saling tegak lurus jika ...
Correct Answer
A. A1.a2+b1.b2 = 0
Explanation
The correct answer is a1.a2+b1.b2 = 0. This equation represents the condition for two lines to be perpendicular to each other. The dot product of the direction vectors of the two lines, a1 and a2, plus the dot product of the direction vectors of the perpendicular lines, b1 and b2, must equal zero. This means that the angles between the lines are 90 degrees, indicating perpendicularity.
13.
Lukis persamaan garis yang melalui ttitik 1,4 dengan gradien -2
Correct Answer
C. Y=-2x+6
Explanation
The correct answer is y=-2x+6. This equation represents a line with a gradient of -2, passing through the point (1,4). The general form of a linear equation is y = mx + c, where m is the gradient and c is the y-intercept. By substituting the given values, we can determine that the y-intercept is 6. Therefore, the equation of the line is y = -2x + 6.
14.
Persamaan garis yang malaui titi adalah (2,3) dam (-2,1)
Correct Answer
A. Y=1/2x + 2
Explanation
The given equation y=1/2x + 2 matches the given points (2,3) and (-2,1). The equation y=1/2x + 2 represents a line with a slope of 1/2 and a y-intercept of 2. When x=2, plugging it into the equation gives y=1/2(2) + 2 = 1 + 2 = 3, which matches the y-coordinate of (2,3). Similarly, when x=-2, plugging it into the equation gives y=1/2(-2) + 2 = -1 + 2 = 1, which matches the y-coordinate of (-2,1). Therefore, the equation y=1/2x + 2 is the correct equation for the line passing through the given points.
15.
Jarak antara bandung dan jakarta adalah 80 km dan dapat ditempuh dengan waktu 2 jam maka kecepatannya adalah
Correct Answer
C. 40km/jam
Explanation
The correct answer is 40km/jam. This is because the question states that the distance between Bandung and Jakarta is 80 km and it can be covered in 2 hours. To find the speed, we divide the distance by the time, which gives us 80 km / 2 hours = 40 km/hour.