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:
\(y = \frac{1}{3}x + 7\)
\((0) = \frac{1}{3}x + 7\)
\(-7 = \frac{1}{3}x\)
\(x = -21\)
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