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Anon25 [30]
3 years ago
15

Which is the equation of the given line in slope-intercept form? (-1, 2) and (1, -4)

Mathematics
2 answers:
Natalka [10]3 years ago
6 0
1. Find the slope using the slope formula.
\frac{2 - ( - 4)}{ - 1 - 1}  =  \frac{2 + 4}{ - 2}  =  -  \frac{6}{2}  =  -  \frac{3}{1}  =  - 3
2. Plug that slope and either point into an equation in slope-intercept form and solve for b.
2 =  - 3( - 1) + b \\ 2 = 3 + b \\  - 1 = b
3. Now write your answer as a slope-intercept form equation
y =  - 3x - 1
boyakko [2]3 years ago
3 0
Slope-intercept form : y=mx+b ; where m=slope, b=y-intercept

Passes through (-1, 2) as well as (1, -4)

Our first step is to find the slope. So, using the slope formula, let's get started! :)

Slope formula : m = y₂-y₁ / x₂-x₁

y₂ = -4 ; y₁ = 2 ; x₂ = 1 ; x₁ = -1

So, let's plug in our values! :)

m = y₂-y₁/x₂-x₁ → m = -4 - (2) / 1 - (-1)

Simplify.

m = -4 - 2 / 1 + 1

Simplify.

m = -6 / 2

Simplify.

m = -3

Now choose a set of points - I chose (-1, 2)

Now with those points, plug those points (and slope) into slope intercept form

y = mx + b

(2) = -3(-1) + b

Simplify.

2 = 3 + b

Now we have to isolate b - simply subtract 3 from both sides.

2 -3 = b

b = -1

Now we have our b value!

**Remember : m = -3, b = -1**

So now we just need to plug these into slope intercept form :)

y = mx + b

y = -3x - 1

~Hope I helped!~


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