Question

Find the slope-intercept form for the line satisfying the following conditions. Passing through (3,-2) and (2,-1)

Answer 1

The slope-intercept form is
y = mx + b,
where m = slope, and b = the y-intercept, or point (0, b)

First you need to find the slope:
The slope is the rise over run, or difference in y-values divided by the difference in x-values. For the given points, the y-values are -2 and -1. The x-values are 3 and 2. The
slope = m = (-2 - (-1))/(3 - 2) = (-2 + 1)/1 = -1/1 = -1

You equation will look like
y = -x + b

To find b, one method is to insert the x- and y-coordinates of one of the given points in for x and y, and solve for b. Let's use point (3, -2)
y = -x + b
-2 = -(3) + b
-2 = -3 + b
b = 1

The equation is:
y = -x + 1