Write an equation in slope intercept form for the line passing through each pair of points (-1,3) and (2,-5)

Slope intercept form of a line is y = mx + b, where m is the slope and b is the y coordinate of the y intercept.

The easiest way to solve this problem is by using another equation for a line, also known as point slope form. This equation is best to use for a line if you have  a point and slope of the line, but do not have the y-intercept.

We need to find the slope of this line passing through the pair of points (-1, 3) and (2, -5). We can do this by using the slope formula: . Substitute in the appropriate coordinates.

= , so the slope of the line is -8/3.

Point slope form of a line is . Substitute -8/3 for m, and use the point coordinate (-1, 3) for y1 and x1. You could use either point coordinate but I chose to use this one.

Distribute -8/3 inside the parentheses.

Add 3 to both sides.

y = -8/3x + 1/3 is your answer (slope intercept form).