Question

x y

-5 -3
2 -1

What is the equation of the line that passes through the points shown on the graph? Write the answer in slope-intercept form.

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the equation of the line that passes through the points (-5, -3) and (2, -1), we first need to find the slope of the line.

Slope (m) = (y2 - y1) / (x2 - x1)
Slope = (-1 - (-3)) / (2 - (-5))
Slope = (2) / (7)
Slope = 2/7

Now that we have the slope, we can use one of the points to find the y-intercept (b).

Using the point (-5, -3):
-3 = (2/7)(-5) + b
-3 = -10/7 + b
b = -3 + 10/7
b = -21/7 + 10/7
b = -11/7

Therefore, the equation of the line passing through the points (-5, -3) and (2, -1) in slope-intercept form (y = mx + b) is:
y = (2/7)x - 11/7