Mathematics: Find the equation of the line through (6,8) which is parallel to the line y=4x−6. Give your answer in the form y=mx+b.

A. corresponding anglesb. alternate exterior anglesc. none of the above d. alternate interior angles...

Find the equation of the line through (6,8) which - id6813711241, ayoismeisjjjjuan

Ответ:

eleonorajacomopdb7bj

11.07.2021

Mathematics

y=4x-16

Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form: y=mx+b

where m is the slope of the line and b is the y-intercept (the value of y when x is 0)Parallel lines always have the same slope

1) Determine the slope (m)

y=4x-6

4 is in the place of m, making it the slope. Because parallel lines have the same slope, the slope of the line is therefore 4. Plug this into y=mx+b :

y=4x+b

2) Determine the y-intercept (b)

y=4x+b

Plug in the given point (6,8) and solve for b

$8=4(6)+b\\8=24+b$

Subtract 24 from both sides to isolate b

$8-24=24+b-24\\-16=b$

Therefore, the y-intercept of the line is -16. Plug this back into y=4x+b :

y=4x-16

I hope this helps!

0,0(0 оценок)

Find the equation of the line through (6,8) which is parallel to the line y=4x−6. Give your answer in the form y=mx+b.

Ответ:

Ответ:

Ask your question to the AI advisor

More tips

Answers on questions: Mathematics

Ask an AI advisor a question