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15 votes
Write an equation of the line

in slope intercept form that
has a slope of -6 and
passes through the point
(2, -4).

1 Answer

9 votes

Answer:

y=-6x+8

Explanation:

Slope-intercept form is y=mx+b, where m is the slope and b is the y intercept.

We know a point (2,-4) and a slope -6.

We can subtsitute what we know into the equation above, to find what the y intercept is, since the line will pass through the point given.

-4=-6(2)+b

multiply

-4=-12+b

add 12 to both sides

8=b

the y intercept is (0,8)

Now we know what b is, so we know what the full equation is:

y=-6x+8

hope this helps!

User Muposat
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