Question

True or FalseThe slope of the line$2y=3x+5$is$3.$

Short answer

The statement "The slope of the line $2y=3x+5$is $3$." is false.

Step-by-step solution

Step 1. Given information.

We have:

$2y=3x+5$

Step 2. Find whether the statement is true or false. 

The equation is $2y=3x+5$.

Convert the equation into slope-intercept form:

Divide both sides by $2:$

$$\begin{gathered} \frac{2y}{2}=\frac{3x+5}{2} \\ y=\frac{3}{2}x+\frac{5}{2} \end{gathered}$$

Compare the equation with slope intercept form$y=mx+b$, where $m$is slope, we get:

$m=\frac{3}{2}$

Hence, the statement is false.