The graph of the line passes through the point . Additionally, traveling along the line, if decreases by , then decreases by . What is the sum of the -intercept and the -intercept?
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We're told that if x decreases by 2, then y decreases by 4. In terms of slope, this means m = Δ x Δ y = − 2 − 4 = 2 .
We're also told that the line passes through ( 2 , 9 0 ) , so we can use point-slope form to find the equation of the line:
y − 9 0 = 2 ( x − 2 ) ⟶ y = 2 x + 8 6
The y -intercept is 86 and the x -intercept is -43, the sum of which is 43.