QuestionConvert point-slope $y-5=3(x-2)$ to slope-intercept form $y=mx+b$ . Find $m$ and $b$ .

Studdy Solution

STEP 1

Assumptions1. The given equation is in point-slope form $y - y1 = m(x - x1)$ . The goal is to convert this equation into slope-intercept form $y = mx + b$
3. The given equation is $y -5 =3(x -)$

STEP 2

First, we need to distribute the on the right side of the equation to both terms inside the parentheses.
$y -5 =x -6$

STEP 3

Next, we need to isolate $y$ on one side of the equation to get it into slope-intercept form. We can do this by adding5 to both sides of the equation.
$y =3x -6 +5$

STEP 4

Finally, we simplify the right side of the equation by combining like terms.
$y =3x -1$ So, the equation in slope-intercept form is $y =3x -1$ .

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