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ch4aika [34]
3 years ago
15

A line goes through the point (6,-2) and has a slope of -3. What is the value of a if the point (a,7) lies on the line?​

Mathematics
2 answers:
Sindrei [870]3 years ago
7 0

m =  y1 - y2 / x1 x2

-3 = -2 - 7 / 6 - a

-3 = -9 / 6 - a

-3 (6 - a)=-9

-18 + 3a = -9

3a = - 9 + 18

a = 9 / 3

a = 3

Vikki [24]3 years ago
3 0

Answer:

<h2>a = 3</h2>

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

m =  \frac{ y_2 - y _ 1}{x_ 2 - x_ 1}  \\

From the question the slope is - 3

To find the value of a we have

- 3 =  \frac{7 -  - 2}{a - 6}  \\  - 3 =  \frac{7 + 2}{a - 6}  \\  - 3(a - 6) = 9 \\  - 3a + 18 = 9 \\  - 3a = 9 - 18 \\  - 3a =  - 9

Divide both sides by - 3

\frac{ - 3a}{ - 3}  =  \frac{ - 9}{ - 3}  \\

We have the final answer as

<h3>a = 3</h3>

Hope this helps you

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