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3 years ago

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:

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

Hope this helps you

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Fynjy0 [20]

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Step-by-step explanation:

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3 years ago

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zepelin [54]

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Step-by-step explanation:

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3 years ago

What is the solution to the equation below? Round your answer to two decimal places? (apex) 5+8*In x=15.8

Sliva [168]

Option A : $x=3.86$ is the solution of the equation.

Explanation:

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To determine the value of x, let us simplify the equation.

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$5+\ 8 \ ln \ x-5=15.8-5$

Simplifying, we get,

$8 \ ln \ x= 10.8$

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Using the logarithmic definition that if $\log _{a}(b)=c$ then $b=a^{c}$

Thus, rewriting the above expression $\ ln \ x=1.35$ using the logarithmic definition, we have,

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$x=3.86$

Hence, the solution of the equation is $x=3.86$

Therefore, Option A is the correct answer.

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3 years ago

How do you graph? <br> y=−4/3x+8y

trasher [3.6K]

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Now follow the steps above.

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3 years ago

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?​

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?