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3 votes
Determine the intercepts of the line.
-6x + 3y = -7
z-intercept:
y-intercept:

User Depressio
by
8.3k points

1 Answer

2 votes

Answer:

(7/6, 0) and (0,-7/3)

Explanation:

I think you mean x-intercept and y-intercept not z-intercept and y-intercept. The first step is to convert the equation to slope intercept form:

-6x+3y=-7

3y=6x-7

y=6/3x-7/3

y=2x-7/3

Now, to find the x-intercept we find the value of x when y is 0.

0=2x-7/3

7/3=2x

7/6=x so the x-intercept is (7/6,0)

Now, to find the y-intercept we find the value of y when x is 0.

y=2(0)-7/3

y=0-7/3

y=-7/3 so the y-intercept is (0,-7/3)

User Cparello
by
8.3k points