Question

Rate of change y=5x+10

Answer 1

5

Explanation:

The equation
`y=5x+10` is given in slope-intercept form. Slope-intercept form is a way of writing the equation of a line in the format
`y=mx+b`, such that the coefficient of the parameter (x) is the slope, and constant (b) is the y-intercept. What that essentially means is,

`y = mx + b\\\\m=slope\\b = y-intercept.`

The slope of a line is its rate of change, and the y-intercept is where the graph of the line intersects the y-axis. One can apply this knowledge here by saying that, the equation
`y=5x+10` is given in the slope-intercept form, and the coefficient (
`m`) equals (
`5`), therefore the slope is (
`5`).