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what's the equation in point slope form of the line that passes through the point (3, 1) and has a slope of -2

User Yonatan
by
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2 Answers

4 votes

Answer:

equation: y = -2x + 7

Explanation:

y = mx + b M: slope b: y intercept

m = -2

x = 3 and y = 1

b = y - mx = 1 - (- 2) x 3 = 7

equation: y = -2x + 7

check: ( 3,1) -2 x 3 + 7 = 1

User Tskjetne
by
8.1k points
3 votes

Answer:

The equation of the required line is,

y = -2x + 7

Explanation:

We know that equation of a line passing through the point (x₁, y₁) and having slope 'm' is given by

(y - y₁) = m(x - x₁)

Now, the required line passes through the point (3, 1) and has a slope of -2.

So, (x₁, y₁) = (3, 1) and m = -2

So, equation of the line passing through (3, 1) and having a slope of -2 is given by,

y - 1 = -2(x - 3)

y - 1 = -2x + 6

y = -2x + 6 + 1

y = -2x + 7

So, the required equation of line in point-slope form is,

y = -2x + 7

User Fabian Schmick
by
7.5k points

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