5x-4y=3

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.

-4y=3-5x

Divide each term by -4 and simplify.

Divide each term in -4y=3-5x by -4.

-4y-4=3-4+-5x-4

Cancel the common factor of -4.

Cancel the common factor.

-4y-4=3-4+-5x-4

Divide y by 1.

y=3-4+-5x-4

y=3-4+-5x-4

Simplify 3-4+-5x-4.

Simplify each term.

Move the negative in front of the fraction.

y=-34+-5x-4

Dividing two negative values results in a positive value.

y=-34+5×4

y=-34+5×4

Reorder -34 and 5×4.

y=5×4-34

y=5×4-34

y=5×4-34

Rewrite in slope-intercept form.

y=54x-34

y=54x-34

Find the values of m and b using the form y=mx+b.

m=54

b=-34

The slope of the line is the value of m, and the y-intercept is the value of b.

Slope: 54

y-intercept: -34

Slope: 54

y-intercept: -34

Find the Slope and Y-Intercept 5x-4y=3