SOLUTION: Write an equation of the line that has each pair of intercepts: X-intercept:-3, Y-intercept:6 How do I do this?

Question 175484: Write an equation of the line that has each pair of intercepts:
X-intercept:-3, Y-intercept:6 How do I do this?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
X-intercept:-3 means that the point (-3,0) is on the line

Y-intercept:6 means that the point (0,6) is on the line

So let's find the equation of the line through the points (-3,0) and (0,6)

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

Simplify

Rewrite as

Distribute

Multiply

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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