# Find the Slope and Y-Intercept 5x-3y=-15 5x-3y=-15
Rewrite in slope-intercept form.
The slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.
y=mx+b
Subtract 5x from both sides of the equation.
-3y=-15-5x
Divide each term by -3 and simplify.
Divide each term in -3y=-15-5x by -3.
-3y-3=-15-3+-5x-3
Cancel the common factor of -3.
Cancel the common factor.
-3y-3=-15-3+-5x-3
Divide y by 1.
y=-15-3+-5x-3
y=-15-3+-5x-3
Simplify -15-3+-5x-3.
Simplify each term.
Divide -15 by -3.
y=5+-5x-3
Dividing two negative values results in a positive value.
y=5+5×3
y=5+5×3
Reorder 5 and 5×3.
y=5×3+5
y=5×3+5
y=5×3+5
Rewrite in slope-intercept form.
y=53x+5
y=53x+5
Use the slope-intercept form to find the slope and y-intercept.
Find the values of m and b using the form y=mx+b.
m=53
b=5
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: 53
y-intercept: 5
Slope: 53
y-intercept: 5
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