SOLUTION: What is the equation of the solution in point-slope form and slope-intercept form? Passing through (-4,-2) and (1,3)

Question 613005: What is the equation of the solution in point-slope form and slope-intercept form? Passing through (-4,-2) and (1,3)
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

First let's find the slope of the line through the points

and

Note:

is the first point

. So this means that and .
Also,

is the second point

. So this means that and .

Start with the slope formula.

Plug in , , , and

Subtract from to get

Subtract from to get

Reduce

So the slope of the line that goes through the points

and

is

Now let's use the point slope formula:

Start with the point slope formula

Plug in , , and

Rewrite as

Rewrite as

Distribute

Multiply

Subtract 2 from both sides.

Combine like terms.

Simplify

So the equation that goes through the points

and

is

Notice how the graph of goes through the points

and

. So this visually verifies our answer.
Graph of through the points

and

RELATED QUESTIONS
What is the point slope form and the slope intercept form of the equation: Passing... (answered by Cromlix)

a line passing through points A (1,-2) and B (4,-3) write the equation of a linear... (answered by macston)

What is the equation in slope form and slope intercept form for slope 8,passing through... (answered by lwsshak3)

Use the given conditions to write an equation in point slope form and slope intercept... (answered by Boreal)

write an equation in the point-slope form and the slope-intercept form..thanks... (answered by funmath)

What is the equation in point-slope form of the line passing through (�2, 1) and (4,... (answered by lynnlo)

slope intercept form- what is the equation the line has a slope of 2 and passing through... (answered by josmiceli)

use the given conditions to write an equation in the point-slope form and the... (answered by venugopalramana)

For each line, use the given conditions to write an equation in the point-slope form and... (answered by Alan3354,solver91311)