4-7 HW Handout Algebra With Pizzazz P. 159 And P. 160

2.

#7, p. 159.Write the equation in point-slope form of the line with slope and passing through (3, 4).

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Correct Answer

A.

3.

#11, p. 159.Write the equation in point-slope form of the line with slope ‒2 and passes through (0, 0).

Y ‒ 0 = 0(x ‒ 0)
Y + 2 = 0(x + 2)
Y ‒ 2 = 0(x ‒ 2)
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Correct Answer

A. Not here

Explanation

The given equation in point-slope form is y - 2 = 0(x - 2). This equation represents a line with a slope of 0 and passes through the point (2, 2).

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4.

#2, p. 160Find the equation in slope-intercept form of the line that passing through (0, 1) and (3, ‒8).

Y = ‒x + 1
Y = 2x + 1
Y = ‒3x +1
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Correct Answer

A. Y = ‒3x +1

Explanation

The equation of a line in slope-intercept form is y = mx + b, where m is the slope of the line and b is the y-intercept. To find the slope, we can use 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 are (0, 1) and (3, -8). Plugging these values into the formula, we get (-8 - 1) / (3 - 0) = -9 / 3 = -3. So the slope of the line is -3. Since the line passes through the point (0, 1), we can substitute these values into the equation and solve for the y-intercept b. Plugging in x = 0 and y = 1, we get 1 = -3(0) + b, which simplifies to b = 1. Therefore, the equation of the line is y = -3x + 1.

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5.

#7, p. 160Find the equation in slope-intercept form of the line that passing through (4, 1) and (‒4, 7).

Not here

Correct Answer

A.

Explanation

The equation in slope-intercept form of a line can be found using the formula y = mx + b, where m is the slope and b is the y-intercept. To find the slope, we use the formula (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of two points on the line. Plugging in the values (4, 1) and (-4, 7), we get a slope of -6/8 or -3/4. To find the y-intercept, we can substitute the slope and one set of coordinates into the slope-intercept form equation and solve for b. Using the point (4, 1), we get 1 = (-3/4)(4) + b, which simplifies to 1 = -3 + b. Solving for b, we get b = 4. Therefore, the equation in slope-intercept form is y = (-3/4)x + 4.

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4-7 HW Handout Algebra With Pizzazz P. 159 And P. 160

#4, p. 159.Write the equation in point-slope form of the line with slope 3 and passing through (‒4, ‒7).

Quiz Preview

#7, p. 159.Write the equation in point-slope form of the line with slope and passing through (3, 4).

#11, p. 159.Write the equation in point-slope form of the line with slope ‒2 and passes through (0, 0).

#2, p. 160Find the equation in slope-intercept form of the line that passing through (0, 1) and (3, ‒8).

#7, p. 160Find the equation in slope-intercept form of the line that passing through (4, 1) and (‒4, 7).