Question

Find the slope and y-intercept of the equation y = mx + b.

A) Slope = m, y-intercept = b
B) Slope = b, y-intercept = m
C) Slope = 1/m, y-intercept = b
D) Slope = m, y-intercept = 1/b

Answer 1

The slope-intercept form of the equation
`y = mx + b` provides the slope (m) and y-intercept (b) directly, with the slope being the coefficient of x and the y-intercept being the constant term.

Step-by-step explanation:

When looking to find the slope and y-intercept of the equation

`y = mx + b`, the answer is quite straightforward. The equation itself is in what's known as the slope-intercept form, which is ideal for quickly identifying both the slope and the y-intercept of a straight line on a graph. In this form, the coefficient m represents the slope of the line which is a measure of the line's steepness, often described as "rise over run".

The y-intercept is denoted by b and is the point where the line crosses the y-axis (at which the value of x is 0). Therefore the correct answer to the question is A) Slope = m, y-intercept = b.