Write in slope-intercept form an equation of the line that passes through the points (−4, 2) and (6,−3). y=

Answer 1

Hi Storm,

The equation of the line will be of the form :

y = mx + b

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

The coordinates of the points in the problem can be used to determine the slope:

2 - (-3) = -1

-4 - 6. 2

Then substitute this value for m along with winter x or y in the original equation y to o find b:

Using the point (-4 , 2):

2 = -1/2 * -4 + b

Solve for b:

0 = b

The final equation would be:

y = -1/2 x + 0