Question

Find the equation of the line, given the following information: passes through (1,4) and is parallel to y=2x+6?

Answer 1

y = 2x + 2

Explanation:

y = 2x + 6

the slope-intercept equation of a line: y = mx + b

where m = slope

b = y-intercept

let's put the point (1,4) in it as it lies on line

y = mx + b

4 = 2(1) + b

b = 4 - 2

b = 2

therefore, the equation would be: y = 2x + 2

Answer 2

The slope of the parallel line will be the same as the original line but the y-intercept will be different.

y = 2x + b

Since we don't know the new y-intercept, we can solve for it using the point we are given.

4 = 2(1) + b

4 = 2 + b

2 = b

The y-intercept of the parallel line is 2.

Therefore, the answer is y = 2x + 2

Best of Luck!