Vanessa will graph the lines y = 1/3*x + 7 and y = 2x - 5. What is the sum of the x-coordinates of the two lines' x-intercepts? Express your answer as a decimal to the nearest tenth.
The x-intercept will always have a y-coordinate of 0. To find the x-intercepts of the two lines, substitute 0 for y:
First line:
y=13x+7
(0)=13x+7
−7=13x
x=−21
Second line:
y=2x−5
(0)=2x−5
5=2x
x=2.5
Their sum:
2.5 + (-21) = -18.5
Let me know if you have any questions