Question

(3,2), y=3x+4 how do I solve

Answer 1

The given line has equation

y = 3x + 4

The equation is in the slope-intercept form, y = mx + b,
where m = slope, and b = y-intercept.

This line has slope = m = 3.

Parallel lines have equal slopes, so the line we are looking for also has slope = 3.

The line will have an equation of the form

y = 3x + b

Now we need to find b, the y-intercept.

We use the given point in the equation we have so far to find b.

y = 3x + b

Using the given point, (3, 2), replace x with 3 and y with 2. Solve for b.

2 = 3(3) + b

2 = 9 + b

b = -7

Now we replace b with -7.

y = 3x + b

y = 3x - 7

Answer: The equation is y = 3x - 7