Find the equation of a line that passes through (1,12) and is parallel to the graph of y=3x+4 . Write the equation in slope-int

Question

1 year ago

9

ercept form.

1 answer:

Monica [59] · Answer 1 · 2024-02-26T07:34:50+03:00

Answer:

y = 3x + 9

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x + 4 ← is in slope- intercept form

with slope m = 3

• Parallel lines have equal slopes , then

y = 3x + c ← is the partial equation of the parallel line

to find c substitute (1, 12 ) into the partial equation

12 = 3 + c ⇒ c = 12 - 3 = 9

y = 3x + 9 ← equation of parallel line

Find the equation of a line that passes through (1,12) and is parallel to the graph of y=3x+4 . Write the equation in​ slope-int