Find my Intercepts!
Consider the line given by the equation y = 2 5 x + 3 0 . Let a and b be the x -intercept and y -intercept of this line. What is the value of a + b ?
The answer is 18.
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2 solutions
I had those solutions But when I hit the send button it didn’t work Is there a specific way to enter the answers?
To find the y − i n t e r c e p t , substitute x = 0 and compute y . We have
y = 2 5 ( 0 ) + 3 0 = 3 0
To find the x − i n t e r c e p t , substitute y = 0 and compute x . We have
0 = 2 5 x + 3 0
− 3 0 = 2 5 x
x = − 1 2
The desired answer is 3 0 + ( − 1 2 ) = 1 8
Substituting x = 0 into the equation of the line gives the y -intercept as follows: y y = 2 5 ⋅ 0 + 3 0 = 3 0 .
Substituting y = 0 into the equation of the line gives the x -intercept as follows: 0 x = 2 5 x + 3 0 = − 1 2 . Thus, the sum of the two intercepts is 3 0 + ( − 1 2 ) = 1 8 .