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)?

Answer 1

Answer:

y - 1 = -2(x - 4)

Step-by-step 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:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

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):

$m=\dfrac{3-1}{-3-(-2)}=\dfrac{2}{-1}=-2$

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

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