SOLUTION: Question: Write an equation of the line that has each pair of intercepts. x-intercept:2, Y-intercept:-4 How do I do this?

Question 175487: Question: Write an equation of the line that has each pair of intercepts.
x-intercept:2, Y-intercept:-4 How do I do this?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
x-intercept:2 tells us that the point (2,0) is on the line
y-intercept: -4 means that (0,-4) is on the line

So we need to find the equation of the line through the points (2,0) and (0,-4)

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

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

Distribute

Multiply

Add 0 to 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

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