Question

a line intercepts the point (-2, 1) and it has a slope of 2 input the correct values into the point slope formula. y- ? = ? ( x- ?)

Answer 1

Point-slope formula

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

`y-y_1=m(x-x_1)`

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

Given that the line passes through a given points we have that:

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

In this case we have that

1. It has a slope of 2, then m = 2

2. The line intercepts the point (-2, 1). Since (-2, 1) = (x₁, y₁) then

x₁ = -2 and y₁ = 1

We have that

m = 2

x₁ = -2

y₁ = 1

Let's replace those values in the first formula:

`\begin{gathered} y-y_1=m(x-x_1) \\ \downarrow \\ y-1=2(x-(-2)) \\ y-1=2(x+2) \end{gathered}`

Answer- the point-slope formula of this line is: y - 1 = 2(x + 2)