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Find the slope of the line given the equation in either standard or slope-intercept form.
Questions and Answers
1.
Y = -x + 3
Explanation Plugging in -1 for x in the equation y = -x + 3, we get y = -(-1) + 3 = 1 + 3 = 4. Therefore, the value of y when x is -1 is 4.
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2.
X + 2y = -8
Explanation The given equation is x + 2y = -8. To find the value of x and y that satisfy this equation, we can substitute different values for y and solve for x. One possible solution is when y = -1/2 or -0.5 or -.5, which gives x = -7, making the equation true. Therefore, -1/2, -0.5, and -.5 are the correct answers.
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3.
8x + 3y = -9
Explanation The given equation is 8x + 3y = -9. To find the value of y, we need to isolate it on one side of the equation. By subtracting 8x from both sides, we get 3y = -8x - 9. To solve for y, we divide both sides of the equation by 3, resulting in y = (-8/3)x - 3. Therefore, the correct answer is -8/3.
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4.
4x - 3y = 9
Explanation The given equation is 4x - 3y = 9. To find the answer, we need to solve for either x or y. Let's solve for y. First, we move 4x to the other side of the equation by subtracting 4x from both sides, which gives us -3y = 9 - 4x. Then, we divide both sides of the equation by -3 to isolate y, resulting in y = (9 - 4x)/-3. Simplifying further, we get y = (4x - 9)/3. Therefore, the answer is 4/3.
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5.
Y = -1
6.
-2y - 10 + 2x = 0
Explanation The given equation -2y - 10 + 2x = 0 represents a linear equation in two variables, x and y. The answer 1 suggests that the equation is true when x = 1. By substituting x = 1 into the equation, we can solve for y and find the corresponding value of y that satisfies the equation.
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7.
-x - 1 = y
Explanation In the given equation, -x - 1 = y, the answer of -1 means that when the value of x is substituted into the equation, it will result in y being equal to -1. This can be verified by substituting -1 into the equation: -(-1) - 1 = 1 - 1 = -1. Therefore, the answer of -1 satisfies the equation.
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8.
3x + 2y = 6
Explanation The given equation is a linear equation in two variables, x and y. To find the values of x and y that satisfy the equation, we can rearrange it to solve for y: y = (6 - 3x)/2. By substituting different values of x into this equation, we can find the corresponding values of y. In this case, when x is -3/2 or -1.5, y is equal to -3/2 or -1.5 respectively. Therefore, the answer is -3/2 and -1.5.
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9.
X + 5y = 15
Explanation The given equation is x + 5y = 15. To find the correct answer, we need to substitute the values given (-1/5, -.2, -.20) into the equation and check if it satisfies the equation. By substituting these values, we can calculate the left-hand side of the equation and see if it equals 15. If it does, then the answer is correct.
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10.
-15 - x = -5y
Explanation The given equation is -15 - x = -5y. To find the possible values for x and y, we can rearrange the equation as x = -15 + 5y. This means that x is equal to -15 plus a multiple of 5y. By substituting different values for y, we can determine the corresponding values for x. The answer options 1/5, .2, and .20 are all possible values for y. Therefore, they are also possible values for x, since x is dependent on y in the equation.
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