Question

A line is parallel to y = 3x - 2 and

intersects the point (3, 5).
How can we find the equation of
this parallel line?
We can use the slope formula: m = 12-₁
We can use the point-slope formula:
y-y₁ = m(x-x₁d
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Answer 1

Answer: The slope is 3

Step-by-step explanation: Parallel lines have the same slope, but different y-intercepts, so the slope of the line is also 3.

Answer 2

y = 3x - 4

Explanation:

compare y = mx + c with y = 3x - 2, then

slope for the 1st line, m1 = 3

for parallel lines m1 = m2

m2 = 3

from y-y1 = m(x-x1)

(x1,y1) = (3,5)

y - 5 = 3(x - 3)

y - 5 = 3x - 9

collecting like terms

y = 3x -9 + 5

y = 3x - 4