Question

Find the slope and the y-intercept of the equation y − 3(x − 1) = 0.

Answer 1

y − 3(x − 1) = 0.
y - 3x + 3 = 0
y = 3x - 3

slope m = 3
y-intercept (0, -3)

Answer 2

In this problem, we need to isolate the y variable. To do so, we can first distribute the -3 into the (x-1) to get y - 3x + 1 = 0.
Then, we can add 3x - 1 to both sides of the equation, making it:
y = 3x - 1
This is a linear equation in the form of y = mx + b. The m, 3 in this equation, is the slope. The b, -1 in this equation, is the y-intercept.
The slope is 3.
The y-intercept is -1.