Question

Find the equation of the line passing through the points (4, 1) and (2, 9). y = [? ]x + [ ]

Answer 1

Answer:

y=-4x+17

Step-by-step explanation:

Slope intercept form is $\frac{y2-y1}{x2-x1}$

$\frac{9-1}{2-4}$

$\frac{8}{-2}$

-4

y=-4x+b

plug in one of the points to find b, I chose (4,1)

1=-4(4)+b

1=-16+b

add 16 to both sides

b=17

put it together and you get y=-4x+17