Question

Rate of change y=5x+10

Answer 1

Answer:

5

Step-by-step 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 ($5$).