Question

If the straight line passing through A(-7, -5) and B(-3, x) is parallel to another straight line of slope 2, find the value of x.

please help,.,,..​

Answer 1

x = 3

Explanation:

Parallel lines have equal slopes.

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = A(- 7, - 5) and (x₂, y₂ ) = B(- 3, x), then

m =
`(x+5)/(-3+7)` ← equate to 2, that is

`(x+5)/(4)` = 2 ( multiply both sides by 4

x + 5 = 8 ( subtract 5 from both sides )

x = 3

Answer 2

X=3; you can set up a proportion using the slope equation. So (y[sub2]-y[sub1])/(x[sub2]-x[sub1])=2/1 then plug in the values and simplify. Then cross multiply and solve for x. Rest of work shown in the picture