Question

Write an equation in slope intercept form for a line passing through the pair of points. Graph the line. (4, -2) and (8, -9)

Answer 1

The slope-intercept form of a line is:

y = mx + b

where m is the slope and b the y-intercept.

The slope is computed as follows:

`m\text{ =}(y_2-y_1)/(x_2-x_1)`

where (x1,y1) and (x2, y2) are two known points. Replacing with (4, -2) and (8, -9):

`m=(-9-(-2))/(8-4)=-(7)/(4)`

Replacing with the point (4, -2) and m = -7/4 into the general equation, we get:

-2 = (-7/4)4 + b

-2 = -7 + b

-2 + 7 = b

5 = b

Then, the equation is:

y = -7/4x + 5

The graph is