# Find the Slope and Y-Intercept 5x-7y=35 5x-7y=35
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.
-7y=35-5x
Divide each term by -7 and simplify.
Divide each term in -7y=35-5x by -7.
-7y-7=35-7+-5x-7
Cancel the common factor of -7.
Cancel the common factor.
-7y-7=35-7+-5x-7
Divide y by 1.
y=35-7+-5x-7
y=35-7+-5x-7
Simplify 35-7+-5x-7.
Simplify each term.
Divide 35 by -7.
y=-5+-5x-7
Dividing two negative values results in a positive value.
y=-5+5×7
y=-5+5×7
Reorder -5 and 5×7.
y=5×7-5
y=5×7-5
y=5×7-5
Rewrite in slope-intercept form.
y=57x-5
y=57x-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=57
b=-5
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: 57
y-intercept: -5
Slope: 57
y-intercept: -5
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