Try subtracting $4x$ from both sides of $4x + 5y = 15$ so that the $y$ term is by itself on the left side of the equation.

After you isolate $5y$, divide everything by $5$ to solve for $y$. Then look at the coefficient of $x$ in the resulting equation—this number is $m$.

Type 4x + 5y = 15 into Desmos. Desmos will graph the line given in standard form.

In another expression line, type y = (15 - 4x)/5. This is the same line rewritten to solve for $y$.

Look at the expression y = (15 - 4x)/5 and simplify it (mentally or by rewriting it in Desmos) to the form y = (something)x + (something). The number multiplying x in this simplified form is the slope $m$ you should choose from the answer options.

You are given the line in standard form: $4x + 5y = 15$. You need to rewrite this equation in slope-intercept form, $y = mx + b$, and then identify the value of $m$, the coefficient of $x$.

Start by getting the $y$ term alone on one side of the equation.

Subtract $4x$ from both sides of $4x + 5y = 15$:

Now divide every term by $5$ to solve for $y$:

Simplify the fractions:

Rewrite to highlight the slope (coefficient of $x$):

In the slope-intercept form $y = mx + b$, $m$ is the number multiplying $x$.

From $y = -\frac{4}{5}x + 3$, the coefficient of $x$ is $-\frac{4}{5}$, so the value of $m$ is $-\frac{4}{5}$.