Question

write an equation in point-slope form for the line that has the given slope m and that passes through the given pointm=-2; (0,1)

Answer 1

Point- slope equation

Initial explanation

We know that the point-slope formula is given by:

y - y₁ = m (x - x₁)

where the terms: m, y₁ and x₁ are numbers.

m is the slope of the line

y₁ is the y value of that given point

x₁ is the x value of that given point

The equation for this case

In this case we have that

m = -2

The line intercepts the point (x₁, y₁) = (0, 1)

then

x₁ = 0 and y₁ = 1

Let's replace those values in the first formula:

y - y₁ = m (x - x₁)

↓ replacing m = -2, x₁ = 0 and y₁ = 1

y - 1 = -2 (x - 0)

↓ since (x - 0) = x

y - 1 = -2x

Answer: the equation for the line is y - 1 = -2x