How do you find the x and y intercept and slope of y= - 6/5x + 6?

1 Answer
Jul 10, 2015

The slope is -6/5, the y-intercept is at (0,6), and the x-intercept is at (5,0).

Explanation:

The "slope-intercept" form of a straight line equation is

y = mx + b,

where m is the slope and b is the y-intercept.

Your equation is

y = -6/5x + 6

If we compare the two equations, we see that

m = -6/5 and b = 6.

So the slope is -6/5 and the y-intercept is at (0,6).

To get the x-intercept, we set y = 0 and solve for x,

y = -6/5x + 6

0 = -6/5x + 6

0 = -6x + 30

6x = 30

x = 30/6 = 5

The x-intercept is at (5,0).

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