Question

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

Answer 1

`y=\displaystyle (3)/(2)x-(31)/(2)`

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 (3)/(2) (x-7)`

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

Use the distributive property on the parentheses:

`y+5=\displaystyle (3)/(2)x-(21)/(2)`

Subtract 5 from both sides:

`y=\displaystyle (3)/(2)x-(21)/(2)-5\\\\y=\displaystyle (3)/(2)x-(31)/(2)`

I hope this helps!