Question

Find the slope and y-intercept of the line 2x – 7y – 6 = 0.​

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• A.
  slope=$\frac{2}{7}$, y-intercept=$\frac{6}{7}$
• B.
  slope=$\frac{6}{7}$, y-intercept=-$\frac{6}{7}$
• C.
  slope=$\frac{7}{6}$,y-intercept=-$\frac{6}{7}$
• D.
  slope=$\frac{2}{7}$, y-intercept=-$\frac{6}{7}$

Answer 1

The correct option is D

slope=$\frac{2}{7}$, y-intercept=-$\frac{6}{7}$
Given: 2x – 7y – 6 = 0
-7y = -2x + 6
7y = 2x - 6 or y =$\frac{2}{7}$x - $\frac{6}{7}$

We know that the equation of a line is y = mx + c, where m is the slope and c is the y - intercept.

So, by comparing y = $\frac{2}{7}$x - $\frac{6}{7}$ and y = mx + c,
Slope = $\frac{2}{7}$ and y-intercept = -$\frac{6}{7}.$