Question

Find the slope and the y-intercept of the equation 2x - 6y = -6.

A) Slope: -3, Y-intercept: 1
B) Slope: 1/3, Y-intercept: -1
C) Slope: 3, Y-intercept: -1
D) Slope: -1/3, Y-intercept: 1

Answer 1

The slope of the equation 2x - 6y = -6 is 1/3 and the y-intercept is 1.

Step-by-step explanation:

The equation 2x - 6y = -6 can be rewritten in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.

To find the slope, isolate y in the equation and rearrange it to the slope-intercept form: -6y = -2x - 6. Dividing both sides by -6 gives y = (1/3)x + 1.

Therefore, the slope is 1/3 and the y-intercept is 1.