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The points (-6, r)

and
(6,3) lie on a line with slope 3/4. Find the missing coordinate r.

User Ababuji
by
7.8k points

1 Answer

0 votes

Answer:

r = -6

Explanation:

Equation of a line:

The equation of a line has the following format:


y = mx + b

In which m is the slope and b is the y-intercept.

Slope 3/4

This means that
m = (3)/(4), and thus:


y = (3)/(4)x + b

(6,3)

This means that when
x = 6, y = 3. We use this to find b. So


y = (3)/(4)x + b


3 = (3)/(4)(6) + b


b = 3 - (18)/(4) = (12)/(4) - (18)/(4) = -(6)/(4)

So


y = (3)/(4)x - (6)/(4) = (3x - 6)/(4)

(-6, r)

r is y when
x = -6. So


y = (3(-6) - 6)/(4) = -6

So r = -6.

User ZorbaTHut
by
7.9k points

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