Question

Write an equation parallel to y=2x+4 that passes through the point (-2,4)

Answer 1

Answer:

Answer: y = 2x + 8

Step-by-step explanation:

• General equation of a line:

$\hookrightarrow \: { \rm{y = mx + b}}$

• m is slope / gradient
• b is y-intercept.

[ for parallel lines, slopes are the same ]

• m is 2

${ \rm{y = 2x + b}}$

for point (-2, 4)

${ \rm{4 = (2 \times - 2) + b}} \\ \\ { \rm{4 = - 4 + b}} \\ \\ { \rm{b = 8}}$

• therefore, equation is:

${ \boxed{ \rm{y = 2x + 8}}}$