-10x+2y=2

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

y=mx+b

Add 10x to both sides of the equation.

2y=2+10x

Divide each term by 2 and simplify.

Divide each term in 2y=2+10x by 2.

2y2=22+10×2

Cancel the common factor of 2.

Cancel the common factor.

2y2=22+10×2

Divide y by 1.

y=22+10×2

y=22+10×2

Simplify 22+10×2.

Simplify each term.

Divide 2 by 2.

y=1+10×2

Cancel the common factor of 10 and 2.

Factor 2 out of 10x.

y=1+2(5x)2

Cancel the common factors.

Factor 2 out of 2.

y=1+2(5x)2(1)

Cancel the common factor.

y=1+2(5x)2⋅1

Rewrite the expression.

y=1+5×1

Divide 5x by 1.

y=1+5x

y=1+5x

y=1+5x

y=1+5x

Reorder 1 and 5x.

y=5x+1

y=5x+1

y=5x+1

y=5x+1

Using the slope-intercept form, the y-intercept is 1.

b=1

Find the Y-Intercept -10x+2y=2