Question

What is the equation, in point-slope form, of the line that is parallel to the given line and passes through the point (4, 1)?

y − 1 = −2(x − 4)
y – 1 = (x – 4)
y – 1 = (x – 4)
y − 1 = 2(x − 4)

Answer 1

y - 1 = -2(x - 4)

Explanation:

The point-slope form of an equation of a line:

`y-y_1=m(x-x_1)`

m - slope

The formula of a slope:

`m=(y_2-y_1)/(x_2-x_1)`

Parallel lines have the same slope.

Calculate the slope of the given line.

Substitute the coordinetes of the poin from the graph

(-2, 1) and (-3, 3):

`m=(3-1)/(-3-(-2))=(2)/(-1)=-2`

Put the value of the slope and the coordinates of the point (4, 1) to the equation of a line:

`y-1=-2(x-4)`