Question

Y+5=3/2(x-7) write in y=mx+b form

Answer 1

Answer:

$y=\displaystyle \frac{3}{2}x-\frac{31}{2}$

Step-by-step explanation:

Hi there!

Slope-intercept form: $y=mx+b$ where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)

Notice how y is isolated in slope-intercept form.

$y+5=\displaystyle \frac{3}{2} (x-7)$

To change this into slope-intercept form, isolate y.

Use the distributive property on the parentheses:

$y+5=\displaystyle \frac{3}{2}x-\frac{21}{2}$

Subtract 5 from both sides:

$y=\displaystyle \frac{3}{2}x-\frac{21}{2}-5\\\\y=\displaystyle \frac{3}{2}x-\frac{31}{2}$

I hope this helps!