Question

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 credit
X-4=2(y - 3)

Answer 1

Answer:

$y=\frac{1}{2}x+1$ is in the slope-intercept form.

so the slope will be:

• $m=\frac{1}{2}x$  

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

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

$2y-6=x-4$

$2y=x-4+6$

$2y=x+2$

$y=\frac{1}{2}x+1$

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

Therefore, $y=\frac{1}{2}x+1$ is in the slope-intercept form.

so the slope will be:

• $m=\frac{1}{2}x$  

and y-intercept will be:

• b = 1