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# Coordinates

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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.

May 25, 2022

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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

May 25, 2022