Question

The equation of the line passing through the points (6, 9) and (4, 17) can be expressed as y = mx + b. Give the value of b

Answer 1

Hello!

First, to find he value of b, we need to find the slope. We divide the difference in the y-values by the difference in the x-values as shown below.

`(17-9)/(4-6) =-(8)/(2) = -4`

Therefore, our slope is -4.

Now we will put our slope and a point from our line (6,9) into the equation and solve for b.

9=-4(6)+b

9=-24+b

b=33

Therefore, our final equation is shown below.

y=-4x+33

I hope this helps!

Answer 2

slope = (17 - 9)/(4 - 6) = 8/-2 = -4

y = mx + b

b = y - mx

b = 9 - (-4)(6)

b = 9 + 24

b = 33

equation

y = -4x + 33

answer

b = 33

equation: y = -4x + 33