Question

Find the values of k and b if it is known that the graph of y=kx+b goes through points (2, 10) and (−7, −10).Plz help

Answer 1

Hey there!!

Slope-intercept form : y = mx + b

Equation given : y = kx + b

Hence, we know k = slope and b is the y-intercept

How, do we find slope?

Formula :
`(y2-y1)/(x2-x1)`

We have got two co-ordinates : ( 2 , 10 ) and ( -7 , -10 )

Plugging in the values :
`(-10-10)/(-7-2)`

Simplifying it :
`(20)/(9)`

Hence, the slope we got is :
`(20)/(9)`

Now, lets plug in this value in the equation y = kx + b

k is 20/9

Plugging in :

...
`y = (20x)/(9) + b`

Now let's take a co-ordinate and plug it in...

...
`10 = (2*20)/(9) + b`

...
`90 = 40 + b`

...
`b = 50`

... y-intercept is 50.

Now, let's get the whole equation in place...

...
`y = (20x)/(9) + 50`

Hope my answer helps!!