SOLUTION: Write an equation of the line that has each pair of intercepts: X-intercept:1, Y-intercept:2

Question 175485: Write an equation of the line that has each pair of intercepts:
X-intercept:1, Y-intercept:2
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
X-intercept:1 means that the point (1,0) is on the line

Y-intercept:2 means that the point (0,2) is on the line

So let's find the equation of the line through the points (1,0) and (0,2)

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

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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