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.

Step-by-step explanation:

Hi there!

What we need to know:

1) Determine the slope (m)

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 :

2) Determine the y-intercept (b)

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

Subtract 24 from both sides to isolate b

Therefore, the y-intercept of the line is -16. Plug this back into :

I hope this helps!

step-by-step explanation:

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the answer is:

the answer is:

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

have a nice day!