Question

A line with a slope of 8 passes through the points (9,v) and (8,2). What is the value of v?

Answer 1

Answer:

Step-by-step explanation:

Given that,

Slope of line is 8

m=8

And we are given two points where the line pass through

(x1,y1) = (9,v). ; x1=9, y1=v

(x2,y2)= (8,2). ; x2=8, y2=2

The slope of a line is given as

m=∆y/∆x

m=(y2-y1)/(x2-x1)

8=(2-v)/(8-9)

8=(2-v)/(-1)

Cross multiply

8×-1=2-v

-8=2-v

Subtract 2 from both sides

-8-2=2-v-2

-10=-v

Divide both sides by -1

-10/-1=-v/-1

Note, -÷-=+

10=v

Then v=10

Answer 2

We can write this as an expression:

$\frac{2-v}{8-9}=8$ → $\frac{2-v}{-1}=8$

Now, lets solve for v.

$\frac{2-v}{-1}=8$

~Multiply -1 to both sides

$\frac{2-v}{-1}$ * -1 = 8 * -1

~Simplify

2 - v = -8

~Subtract 2 to both sides

2 - 2 - v = -8 - 2

~Simplify

-v = -10

~Divide -1 to both sides

-v/-1 = -10/-1

~Simplify

v = 10

Best of Luck!