Question

What is the equation of a line that is parallel to y = -4 and passes through the point (3,7)?

• A. y = 3x - 4
• B. y = 3
• C. y = 3x + 7
• D. y = 7

Answer 1

The correct option is D y = 7

Standard equation of line is $y=mx+c$ ....... $\left(1\right)$

Compairing with the given line $y=-4$ we get the slope of line as $0$ i.e. $m=0$

Substituting the points in $\left(1\right)$ we get

$7=0\times 3+c$

$⟹c=7$

Substituting the value of $c$ and $m$ in $\left(1\right)$ we get,

$y=7$
Hence, the equation of line parallel to the line $y=-4$ is given by $y=7$.