Question

Question 4 of 12

Write a point-slope equation for the line that passes through the point (1, 22)
and is parallel to the line given by y = 14x-3. Do not use parenthesis on the y
side.

Answer 1

y - 22 = 14(x - 1)

Explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 14x - 3 ← is in slope- intercept form

with slope m = 14

Parallel lines have equal slopes

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = 14 and (a, b) = (1, 22) , then

y - 22 = 14(x - 1)