Which is the equation of the given line in slope-intercept form? (-1, 2) and (1, -4)
2 answers:
1. Find the slope using the slope formula.
2. Plug that slope and either point into an equation in slope-intercept form and solve for b.
3. Now write your answer as a slope-intercept form equation
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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Answer:
36
4×4=16
8×2=16
4×2=8/2= 4
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Step-by-step explanation: