The equation of line p is y= 1/4x +6. If line k contains the point (3,5) and is parallel to line p, write an equation in point slope formula of line k.

Question

Responses

1. y−3=4(x−5)
2. y−5=−4(x−3)
3. y−3=−1/4(x−5)
4. y−5=14(x−3)

Answer 1

Since the line is given by (1/4)x + 6, the slope of the parallel line would also have a slope of 1/4.

Point slope form is y − y₁ = m(x − x₁)

We were given (x₁,y₁) = (3,5) and we know the slope is m = 1/4

Plugging everything in gives

y − 5 = (1/4)(x − 3), which is the 4th answer choice assuming that there is a typo and you meant 1/4 instead of 14.