Write an equation in slope-intercept form for the line that goes through the points (2,3) and (7,-2).
a. y = 2x + 3
b. y = x + 1
c. y = -x + 5
d. y = 7x-2

c. y = -x + 5

Step-by-step explanation:

coordinates: (2,3) & (7, -2)

m(slope) = rise/run = (y2-y1) / (x2-x1)

= (-2-3) / (7-2)

= -5 / 5

= -1

therefore, y= -1x + b => y= -x + b

to find b:

taken coordinate: (2,3)

y= -x + b

3= -2 + b

3+2 = b

5 = b

(*even if we take the other coordinate, we'll still get the same value of b)

therefore y= -x + 5

because linear equations are a lot simpler than quadratics equations, and linear equations formula is a lot easier to memorize. that's why i think they're harder.