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 : $\frac{y2-y1}{x2-x1}$

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

Plugging in the values : $\frac{-10-10}{-7-2}$

Simplifying it : $\frac{20}{9}$

Hence, the slope we got is : $\frac{20}{9}$

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

k is 20/9

Plugging in :

... $y = \frac{20x}{9} + b$

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

... $10 = \frac{2*20}{9} + b$

... $90 = 40 + b$

... $b = 50$

... y-intercept is 50.

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

... $y = \frac{20x}{9} + 50$

Hope my answer helps!!

Answer 2

Answer:

k= 20/9

b= 50/9

Step-by-step explanation: