Question

Find the slope and y-intercept of the graph of the equation. Show your work.

2y - 6 = 3x

Answer 1

First isolate y

Answer 2

Slope is m in the equation y=mx+b

Answer 3

y intercept will be where x=0

Answer 4

First,convert this eqn\[2y-6=3x\]into this form\[y=mx+c\]where\[y=vertical~axis\]\[x=horizontal~axis\]\[m=gradient\]\[c=constant~or~y-intercept\]

Answer 5

Hint:
If u want to find y-intercept,\[x=0\]
If u want to find x-intercept,\[y=0\]

Answer 6

\[First,add~6~on~both~sides\]\[Then,~divide~both~sides~by~2\]

Answer 7

\[2y-6+6=3x+6\]\[2y=3x+6\]

Answer 8

\[\frac{ 2y }{ 2 }=\frac{ 3x+6 }{ 2 }\]\[y=\frac{ 3 }{ 2 }x+3\]

Answer 9

Now,try comparing this eqn\[y=\frac{ 3 }{ 2 }x+3\]with this eqn\[y=mx+c\]

Answer 10

where
\[y=vertical~axis\]\[x=horizontal~axis\]\[m=gradient/slope\]\[c=constant/y-intercept\]

Answer 11

@llama459

Answer 12

Refer to the attached plot from Mathematica.