Question

The points (4, 1) and (x, -6) lie on the same line. If the slope of the line is 1, what is the value of x?

Answer 1

Answer:

A

Step-by-step explanation:

Calculate the slope m using the slope formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (4, 1) and (x₂, y₂ ) = (x, - 6)

m = $\frac{-6-1}{x-4}$ = 1

m = $\frac{-7}{x-4}$ = 1 ( cross- multiply )

x - 4 = - 7 ( add 4 to both sides )

x = - 3 → A

Answer 2

Slope formula is m= (y2-y1)/(x2-x1)

We know that slope is 1. So,

(-6-1)/(x-4) = 1

Then solve for x

-6-1 = x-4

x-4 = -7

x= -7+4

x= -3