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andriy [413]
3 years ago
14

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)?

Mathematics
1 answer:
zvonat [6]3 years ago
7 0

Answer:

<h2>y - 1 = -2(x - 4)</h2>

Step-by-step explanation:

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

y-y_1=m(x-x_1)

<em>m</em><em> - slope</em>

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)

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