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denis23 [38]
2 years ago
12

Question

Mathematics
1 answer:
Goryan [66]2 years ago
8 0

Given:

(2, 4) and (3, 3) are on the line.

To find:

The equation of line in point slope form.

Solution:

If a line passes through a point (x_1,y_1) with slope m, then the point slope form of the line is

y-y_1=m(x-x_1)

(2, 4) and (3, 3) are on the line. So, slope of the line is

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

m=\dfrac{3-4}{3-2}

m=\dfrac{-1}{1}

m=-1

The slope of a line is -1 and it passes through (2,4). So, an equation in point slope form is

y-4=-1(x-2)

Therefore, an equation of the line in point slope form is y-4=-1(x-2).

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