Slope from two points with a variable

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

The formula for slope is Y₂ - Y₁ / X₂ - X_1.

We know everything except X₂.

-6 - 1 / x - 1 = 1

-7/x-1 = 1

Multiply both sides by x-1: -7 = x-1

Add 1 to both sides: -6 = x