SOLUTION: Hi! Can I have some help finding an equation of the line through (7, 8) and parallel to the line 4x

SOLUTION: Hi! Can I have some help finding an equation of the line through (7, 8) and parallel to the line 4x - y = 5?

Question 124622: Hi! Can I have some help finding an equation of the line through (7, 8) and parallel to the line 4x - y = 5?

Answer by iluvbuilding429(41) (Show Source): You can put this solution on YOUR website!
Hi! Can I have some help finding an equation of the line through (7, 8) and parallel to the line 4x - y = 5?

To better understand this problem, put the equation in slope-intercept form:

This shows you that the slope is 4, and the y-intercept is 5. Since parallel lines always have the same slope, you know that the line that runs through (7,8) will have a slope of 4.

All you need to know now is the y-intercept.

To find it, plug in (7,8) for x and y.

Multiply:

Subtract 28 from both sides:

Now you know the y-intercept. Plug this value into your equation to get your answer.

To check, add in the values from the coordinate:

Multiply:

Subtract:

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