Question

4. Find the slope and y-intercept.
y= 1/5 x + 4

Answer 1

The slope is
`\bold{(1)/(5)}` and the y-intercept is
`\bold{4}`.

Explanation:

We are given an equation in slope-intercept form (y = mx + b).

In this equation, we can define the following variables:

• m = slope
• b = y-intercept

The slope in an equation and of a line is the rise over run of a line. The numerator of the fraction will be how many y-coordinates the line will ascend or descend (depending on the sign). The denominator will signify how many x-coordinates the line will move to the left or the right.

The y-intercept is the coordinate at which the line crosses the y-axis. The value of x is 0 and the coordinate can be positive or negative.

Therefore, by looking at our equation, we can see that
`(1)/(5)` is the slope, and 4 is the y-intercept.