Use slope formula, m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction, to find the slope of a line that passes through the points (–3, 8) and (4, –6).

m =
Use slope-intercept form, y = mx + b, to find the y-intercept (b) of the line.

b =
What is the new equation written in slope-intercept form, y = mx + b?

The answers are:

New equation of line =>

Step-by-step explanation:

Given points are:

As the formula for slope is given as:

Putting the values

So,

m = -2

The slope-intercept form of equation of line is given by:

Here m is the slope of the line and (x,y) are the coordinates of any point on the line.

As the line passes through both given points, one of the points and slope of line can be used to find the y-intercept of line.

Using the point (-3,8)

Subtracting 6 from both sides

To get the new equation of line, value of slope and y-intercept will be used:

Putting the values of b and m in slope-intercept form

Hence

New equation of line =>