Question

Write the equation of the line, in point-slope form. Identify (x1, y1) as the point (-2, -1). Use the box provided to submit all of your calculations and final answers.
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Please explain as thoroughly as you can! I'm reeeeeeeallly bad at math, any help is extremely appreciated! :D

Answer 1

Answer:

y + 1 = $\frac{1}{2}$ (x + 2)

Step-by-step explanation:

The equation of a line in point- slope form is

y - y₁ = m(x - x₁)

where m is the slope and (x₁, y₁ ) a point on the line

Calculate m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) =(- 2, - 1) and (x₂, y₂ ) = (2, 1) ← 2 points on the line

m = $\frac{1+1}{2+2}$ = $\frac{2}{4}$ = $\frac{1}{2}$

with point on line (x₁, y₁ ) = (- 2, - 1 ), then

y - (- 1) = $\frac{1}{2}$ (x - (- 2) ), that is

y + 1 = $\frac{1}{2}$(x + 2) ← equation of line