How do you simplify $y- 1= 3( x + 6)$ ?

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Answer 1 · 2018-03-06T23:59:52

$y=3x+19$

Simplify:

$y-1=3(x+6)$ is the point-slope form of a linear equation:

$y-y_1=m(x-x_1),$

where:

$m$ is the slope $(3)$ , and $(x_1,y_1)$ is the point $(-6,1)$ .

We can simplify this equation by solving for $y$ , which will give you the equation in slope-intercept form.

$y-1=3(x+6)$

Expand.

$y-1=3x+18$

Add $1$ to both sides.

$y=3x+18+1$

$y=3x+19$ is in slope-intercept form:

$y=mx+b,$

where:

$m$ is the slope $(3)$ , and $b$ is the y-intercept $(19)$ .

How do you simplify y- 1= 3( x + 6)y- 1= 3( x + 6)?