Question

Write an equation of a line that passes through the point (3, 2) and is parallel to the line y = 3x − 4.

y = 3x + 7
y = 3x − 7
y = 1 over 3x + 2
y = 1 over 3x − 2

Answer 1

any equation parallel to ax+by=c
is ax+by=k
substitute the point and find k
finally substitute the value of k

Answer 2

y = 3x - 4...the slope on this equation is 3....a slope on a parallel equation will be the same.

Now, we use y = mx + b
slope(m) = 3
(3,2)....x = 3 and y = 2
now we sub...we already have out points x and y....and we have our slope (m)...all we need is b, the y intercept...so we sub and solve for b.

y = mx + b
2 = 3(3) + b
2 = 9 + b
2 - 9 = b
-7 = b

so ur parallel equation is : y = 3x - 7