Answer:
The easiest way to do this is to put the line into slope intercept form. This is equal to y = mx + b, where m is the slope and y is the intercept. I'm assuming the point at which the line intercepts the y axis is at (0, 4) The graph isn't numbered, so its hard to tell.
Assuming b = 4, we need to find m
Slope = rise / run
Or
[tex]m = \frac{y_2 - y_1}{x_2 - x_1} \\[/tex]
Substitute -2 for y2, 6 for y1, 3 for x2 and -1 for x1
[tex]m = \frac{-2 - 6}{3 - -1}\\ m = \frac{-8}{4}\\m = -2[/tex]
Plug these values in and
[tex]y = -2x + 4[/tex]
When you graph this on desmos, the two points (-1, 6) and (3, -2) are on the graph. Therefore, I'm assuming the y intercept was in fact 4 :)
