Question

What is the slope-intercept form of the equation of the line that is parallel to the line y = 3.0 +12 and passes through the point (4,5)?

Answer 1

`y=3x-7`

Step-by-step explanation

Step 1

`\begin{gathered} y=3x+12\Rightarrow y=mx+b \\ then,\text{ } \\ m=\text{ slope=3} \\ \end{gathered}`

the slope we are looking for is the same because the lines are parallel

`m_1=m_2`

Step 2

Now, find the slope-intercept equation using P(4,5) and slope=3

`\begin{gathered} y-y_0=m(x-x_0) \\ y-5=3(x-4) \\ y-5=3x-12 \\ y=3x-12+5 \\ y=3x-7 \end{gathered}`