MATHEMATICS HIGH SCHOOL

6 Rearrange the linear equation so that it is in slope interceptform. Identify the slope (m) and the intercept (b). You must show your work for full creditX-4=2(y - 3)

Answers

Answer 1

Answer:

Answer:

$y=(1)/(2)x+1$ is in the slope-intercept form.

so the slope will be:

$m=(1)/(2)x$

and y-intercept will be:

b = 1

Step-by-step explanation:

Given the equation

$x-4=2(y - 3)$

As we know that $y = mx+b$ is the slope-intercept form of a line where $m$ is the slope and $b$ is the y-intercept.

Converting to slope-intercept form

$x-4=2(y - 3)$

switching sides

$2\left(y-3\right)=x-4$

$2y-6=x-4$

$2y=x-4+6$

$2y=x+2$

$y=(1)/(2)x+1$

As $y = mx+b$ is the slope-intercept form of a line where $m$ is the slope and $b$ is the y-intercept.

Therefore, $y=(1)/(2)x+1$ is in the slope-intercept form.

so the slope will be:

$m=(1)/(2)x$

and y-intercept will be:

b = 1

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