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

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 Click here to see ALL problems on Linear-equations Question 175485: Write an equation of the line that has each pair of intercepts: X-intercept:1, Y-intercept:2Answer by jim_thompson5910(29613)   (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