10x+18y=24

The slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.

y=mx+b

Subtract 10x from both sides of the equation.

18y=24-10x

Divide each term by 18 and simplify.

Divide each term in 18y=24-10x by 18.

18y18=2418+-10×18

Cancel the common factor of 18.

Cancel the common factor.

18y18=2418+-10×18

Divide y by 1.

y=2418+-10×18

y=2418+-10×18

Simplify 2418+-10×18.

Simplify each term.

Cancel the common factor of 24 and 18.

Factor 6 out of 24.

y=6(4)18+-10×18

Cancel the common factors.

Factor 6 out of 18.

y=6⋅46⋅3+-10×18

Cancel the common factor.

y=6⋅46⋅3+-10×18

Rewrite the expression.

y=43+-10×18

y=43+-10×18

y=43+-10×18

Cancel the common factor of -10 and 18.

Factor 2 out of -10x.

y=43+2(-5x)18

Cancel the common factors.

Factor 2 out of 18.

y=43+2(-5x)2(9)

Cancel the common factor.

y=43+2(-5x)2⋅9

Rewrite the expression.

y=43+-5×9

y=43+-5×9

y=43+-5×9

Move the negative in front of the fraction.

y=43-5×9

y=43-5×9

Reorder 43 and -5×9.

y=-5×9+43

y=-5×9+43

y=-5×9+43

Rewrite in slope-intercept form.

y=-59x+43

y=-59x+43

Using the slope-intercept form, the y-intercept is 43.

b=43

Find the Y-Intercept 10x+18y=24