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:

slope m and y-intercept b

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.

solving the equation for y

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

identifying the m and b

STEP 4:    The slope of the line is -8/3.

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