Mathematics: If the gradient of the line joining (4, a) and (7, 5) is 2. Find the value of a.

If the gradient of the line joining (4, a) and

Ответ:

demotte79991

12.02.2022

Mathematics

a = -1

Step-by-step explanation:

If the gradient of the line joining (4, a) and (7, 5) is 2 it means that

m = 2

so we use the gradient formula to calculate the value of a because both these points line on the same line so we can use these two points to calculate our gradient and then equate it like this,

$m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{5-a}{7-4}\\\\m=\frac{5-a}{3}\\$

now since the gradient is 2 we replace m with the number 2

it becomes like this ,

$m=\frac{5-a}{3}\\\\2=\frac{5-a}{3}\\\\3(2)=5-a\\6=5-a\\6+a=5\\a=5-6\\a=-1\\$

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Ответ:

kkingstone453

08.10.2020

Mathematics

264

Step-by-step explanation: 132 x 6 = 792

792 divided by 3 = 264

Hope this helps

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If the gradient of the line joining (4, a) and (7, 5) is 2. Find the value of a.

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