(y+3)=12⋅(x-2)

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

y=mx+b

Remove parentheses.

y+3=12⋅(x-2)

Simplify 12⋅(x-2).

Apply the distributive property.

y+3=12x+12⋅-2

Combine 12 and x.

y+3=x2+12⋅-2

Cancel the common factor of 2.

Factor 2 out of -2.

y+3=x2+12⋅(2(-1))

Cancel the common factor.

y+3=x2+12⋅(2⋅-1)

Rewrite the expression.

y+3=x2-1

y+3=x2-1

y+3=x2-1

Move all terms not containing y to the right side of the equation.

Subtract 3 from both sides of the equation.

y=x2-1-3

Subtract 3 from -1.

y=x2-4

y=x2-4

Rewrite in slope-intercept form.

y=12x-4

y=12x-4

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

m=12

b=-4

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

Slope: 12

y-intercept: -4

Slope: 12

y-intercept: -4

Find the Slope and Y-Intercept (y+3)=1/2*(x-2)