What is the equation of the line that goes througtthe points (4,-1) and (2,3)?

y = -2x + 7

Step-by-step explanation:

Step-by-step explanation:

recall   the two formulas

y = mx - b            slope-intercept

y - y1 = m(x-x1)     point-slope

with these  we can get the equation .  we also need to find the slope  m

m =  y2-y1 / x2-x1

m = 3 - (-1) / 2-4

m = 3 + 1 / -2

m = 4 / -2

m = -2

now with the slope known,  plug in either point into the point-slope formula and work to the slope-intercept formula, I'll use (2,3)  as the point to plug in.

y - 3 = -2(x-2)

y - 3 = -2x +4

y = -2x + 7

there.. that's your answer

y = -2x + 7  

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