# Find the Slope and Y-Intercept 4x-7y=21 4x-7y=21
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 4x from both sides of the equation.
-7y=21-4x
Divide each term by -7 and simplify.
Divide each term in -7y=21-4x by -7.
-7y-7=21-7+-4x-7
Cancel the common factor of -7.
Cancel the common factor.
-7y-7=21-7+-4x-7
Divide y by 1.
y=21-7+-4x-7
y=21-7+-4x-7
Simplify 21-7+-4x-7.
Simplify each term.
Divide 21 by -7.
y=-3+-4x-7
Dividing two negative values results in a positive value.
y=-3+4×7
y=-3+4×7
Reorder -3 and 4×7.
y=4×7-3
y=4×7-3
y=4×7-3
Rewrite in slope-intercept form.
y=47x-3
y=47x-3
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=47
b=-3
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: 47
y-intercept: -3
Slope: 47
y-intercept: -3
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