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Write each equation in slope-intercept form by following the steps below.
1. y = 2 + 4(x - 3)
a. Distribute 4 through the parentheses.
y=2 +
b. Simplify by combining like terms.
c. Is the equation in the form y = mx + b?
If not, rewrite it.

Respuesta :

Given:

The equation is

[tex]y=2+4(x-3)[/tex]

To find:

The slope intercept form of the given equation.

Solution:

We have,

[tex]y=2+4(x-3)[/tex]

Step a: Distribute 4 through the parentheses.

[tex]y=2+4(x)+4(-3)[/tex]

[tex]y=2+4x-12[/tex]

Step b: Simplify by combining like terms.

[tex]y=4x+(2-12)[/tex]

[tex]y=4x-10[/tex]

Step c: Is the equation in the form [tex]y = mx + b[/tex]? If not, rewrite it.

The equation [tex]y=4x-10[/tex] in the form of [tex]y = mx + b[/tex].

Therefore, the slope intercept form of the given equation is [tex]y=4x-10[/tex].

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