Question

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

Answer 1

Answer:

The equation of the required line is,

y = -2x + 7

Step-by-step 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

Answer 2

Answer:

equation: y = -2x + 7

Step-by-step 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