Write the slope-intercept form of the equation of the line through the given points.
through : (2, 5) and (4, -1)

y= -3x + 11

Step-by-step explanation:

Slope formula: y^2- y^1 divide by x^2- x^1

y^2 is -1

y^1 is 5

x^2 is 4

x^1 is 2

-1 - 5 = -6

4 - 2 = 2

-6/2 = - 3

Y-intercept: Using the slope and either of the two points, replace the y, m, and x in y= mx+b.

Using (2, 5)

5= -3(2) + b

5= -6 + b

Add 6 to both sides in order to eliminate -6.

-6 + 6 = 0

5 + 6 = 11

11 = b

Combine your slope-intercept formula:

y= 3x + 11

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