Question

write the equation of a line that is parallel to y=4x+5 and passes through the point 7,2 in point slope form

Answer 1

y = 4x - 26

Explanation:

Gentle reminder: parallel lines have the same slope.

the slope is 4

the slope-intercept form is y = mx + b

we need to find b by plugging-in the (7,2)

2 = 4(7) + b

2 = 28 + b

2 - 28 = b

-26 = b

Answer 2

y = 4x - 26

Explanation:

Hi! Our task is to write the equation of the line, given that:

• It's parallel to y = 4x + 5, so its slope is 4
• it passes through (7,2)

So, let's write our equation.

`\rightarrow y-y_1=m(x-x_1)` ← This is Point slope !

Substitute the values:

`\rightarrow y-2=4(x-7)`

Simplify.

`\begin{gathered}\rightarrow y-2=4x-28 \\\rightarrow y = 4x - 28 + 2 \\\rightarrow \boxed{y = 4x - 26} \end{gathered}`