How do you graph $7 x - 2 y = 2$ $7x - 2y = 2$ by plotting points?

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Answer 1 · 2018-03-16T16:31:39

A common way is to find the intercepts.

Find the y-intercept by isolating y on the left side of the equal sign. This is also called slope-intercept form.

$7 x - 2 y = 2$ $7x-2y=2$

$- 2 y = (- 7 x) + 2$ $-2y=(-7x) +2$

$y = \frac{- 7 x}{- 2} + \frac{2}{- 2}$ $y=(-7x)/-2+2/-2$

$y = \frac{7}{2} x - 1$ $y=7/2x-1$

This gives us our y-intercept: (0, -1)

Find the x-intercept by isolating x on the left side of the equal sign.

$7 x - 2 y = 2$ $7x-2y=2$

$7 x = 2 y + 2$ $7x=2y+2$

$x = \frac{2}{7} y + \frac{2}{7}$ $x = 2/7y+2/7$

**This gives us our x-intercept: ( $\frac{2}{7}$ $2/7$ , 0) **

Here's a graph of the equation. Notice the intercepts:
graph{y=7/2x-1 [-0.609, 1.891, -1.13, 0.12]}

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