# Finding the slope of the line: 8x + 3y = –9

by Sam

(USA)

**Question**

Find the slope of the following line: 8x + 3y = –9.

**Answer**

**STEP 1: **The first step to find the slope of the given line is to convert it into the slope-intercept form. By the

slope-intercept form, we refer to an equation of the form:

* y = mx + b*Make a note of what each variable in the equation stands for:

**STEP 2: **To express in the slope-intercept form means to

solve the equation for the variable y. Use the usual algebraic method for solving-first isolate the variable term and then the variable.

**STEP 3: **Now, we can compare the equation with the slope-intercept form and identify the variable values.

**STEP 4: **The slope of the line is

**-**^{8}/_{3}.