belleflob
Answered

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Find the equation of the line that passes through (3,1) and is parallel to
y= 2 x + 3
.
Leave your answer in the form
y = m x + c

Sagot :

MrRoyal

Answer:

[tex]y = 2x-5[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1) = (3,1)[/tex]

Parallel to: [tex]y = 2x + 3[/tex]

Required

Determine the line equation

First, we calculate the slope of [tex]y = 2x + 3\\\\[/tex]

For an equation in the form [tex]y = mx + c[/tex]

[tex]m = slope[/tex]

So, by comparison:

[tex]m = 2[/tex]

The line equation is then calculated:

[tex]y - y_1 = m(x - x_1)[/tex]

Where [tex](x_1,y_1) = (3,1)[/tex] and [tex]m = 2[/tex]

So, we have:

[tex]y - 1 = 2(x - 3)[/tex]

[tex]y-1 = 2x-6[/tex]

[tex]y = 2x-6+1[/tex]

[tex]y = 2x-5[/tex]

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