Chapter 1.3, Problem 5AYU

To determine

To find: whether the given statement is true or false

Answer to Problem 5AYU

The given statement is false.

Explanation of Solution

Given:

The slope of the line $2y=3x+5$ is 3

Calculation:

The slope intercept form of an equation of a line is $y=mx+b$ , where m is the slope and b is the y -intercept.

The equation $2y=3x+5$ can be rewritten as $y=\frac{3}{2}x+\frac{5}{2}$ .

Comparing $y=\frac{3}{2}x+\frac{5}{2}$ with $y=mx+b$ we get the value of m as $\frac{3}{2}$ . So, the slope of the equation is $\frac{3}{2}$ .

Conclusion:

Therefore, the statement “the slope of the equation $2y=3x+5$ is 3" is false.