Chapter 8.5, Problem 46E

To determine

Which equation’s graph has the greatest slope?

Answer to Problem 46E

The equation $y=8x+4$ has the greatest slope and option D is the correct choice.

Explanation of Solution

Given:

Four choices: $\text{A}\text{. }y=3x\text{ B}\text{. }y=x+12\text{ C}\text{. }y=5x-1\text{ D}\text{. }y=8x+4$

Concept used:

We know that slope-intercept form of an equation is $y=mx+b$ , where m represents slope and b represents the y -intercept.

Calculation:

Upon looking at our given choices, we can see that all equations are in slope-intercept form. The equation will have the greatest slope, in which the value of m is greatest.

Upon checking our given choices, we can see that the value of m is greatest for the equation given in option D, therefore, the equation $y=8x+4$ has the greatest slope and option D is the correct choice.