Question

Write the equation of the line in slope-intercept form (y = mx + b) that goes through the points (-5, 5) and (5, -3).

A) y = -4/5x + 1
B) y = -2/5x + 1
C) y = -4/5x - 1
D) y = -2/5x - 1

Answer 1

The equation of the line in slope-intercept form that goes through the points (-5, 5) and (5, -3) is y = -4/5x + 1.

Step-by-step explanation:

To find the equation of the line in slope-intercept form (y = mx + b), we need to find the slope (m) and the y-intercept (b).

1. First, let's find the slope (m) using the formula: m = (y2 - y1) / (x2 - x1).
2. Using the coordinates (-5, 5) and (5, -3), we have m = (-3 - 5) / (5 - (-5)) = -8 / 10 = -4/5.
3. Next, let's find the y-intercept (b) by substituting one of the points into the equation y = mx + b.
4. Using the point (-5, 5), we have 5 = (-4/5)(-5) + b. Solving for b, we get b = 1.

Therefore, the equation of the line in slope-intercept form is y = -4/5x + 1.