Question

Write the equation of the line that passes through the points (7, –4) and (–1, 3), first in point-slope form, and then in slope-intercept form.

The slope of the line is ???
.

When the point (7, –4) is used, the point-slope form of the line is ???
.

The slope-intercept form of the line is ???

Please explain how you got your answer and how I can get my future anwser's on my own

Answer 1

The slope of line is

The point slope form is found when point (7, -4) is used is

The slope intercept form is

Solution:

We have to find the equation of the line that passes through the points 7, -4 and -1, 3

Point slope form:

The point slope form is given as:

Where "m" is the slope of line

Given two points are (7, -4) and (-1, 3)

Let us find the slope of line

Substituting

Thus slope of line is found

Substitute value of m and point (7, -4) in eqn 1

Thus the point slope form is found when point (7, -4) is used

Slope intercept form:

The slope intercept form is given as:

y = mx + c ----- eqn 1

Where "m" is the slope of line and "c" is the y - intercept

Substitute m = -7/8 and (x, y) = (7, -4) in eqn 1

Substitute m = -7/8 and in eqn 1

Thus the required equation of line is found

Explanation: