Question

The equation for a linear relation is y = mx + b. Isolate the variable "x" in the above equation.

a) x = (y - b) / m
b) x = (b - y) / m
c) x = (y + b) / m
d) x = (b + y) / m

Answer 1

The variable x in the slope-intercept form of a linear equation (y = mx + b) is isolated by subtracting b from both sides and then dividing by the slope m. The correct answer is a) x = (y - b) / m.

Step-by-step explanation:

The equation provided is in the slope-intercept form of a linear equation, which is y = mx + b, where m is the slope and b is the y-intercept. To isolate the variable x, we rearrange the terms as follows:

1. Subtract b from both sides of the equation so that it becomes y - b = mx.
2. Divide both sides of the equation by the slope m to solve for x, which results in x = (y - b) / m.

Therefore, the correct answer is a) x = (y - b) / m.