Question

Write the equation of the line that passes through the points (-8, 0) and (9, -3). Put your answer in fully reduced point-slope form unless it is a vertical or horizontal line.

a) y = (3/17)x - 3
b) y = (3/17)x + 3
c) y = (-3/17)x - 3
d) y = (-3/17)x + 3

Answer 1

To find the equation of the line that passes through two points, (-8, 0) and (9, -3), we can use the point-slope form of a line. The slope (m) is calculated using the formula (y2 - y1) / (x2 - x1), and then we use one of the points and the slope to write the equation in point-slope form. Simplifying the equation gives us the final answer.

Step-by-step explanation:

To find the equation of the line that passes through the points (-8, 0) and (9, -3), we can use the point-slope form of a line.

First, calculate the slope (m) using the formula: m = (y2 - y1) / (x2 - x1)

Substituting the coordinates of the two points, we get: m = (-3 - 0) / (9 - (-8)) = -3/17

Next, choose one of the points (let's use (-8, 0)) and the slope to write the equation in point-slope form: y - y1 = m(x - x1)

Substituting the values, we get: y - 0 = (-3/17)(x - (-8))

Simplifying the equation gives us: y = (-3/17)x + 3

Therefore, the answer is y = (-3/17)x + 3