Question

Complete the equation of the line through ( 2 , 1 ) (2,1)left parenthesis, 2, comma, 1, right parenthesis and ( 5 8 ) (5,−8)left parenthesis, 5, comma, minus, 8, right parenthesis. Use exact numbers.

Answer 1

Answer:

y = -3m + 7

Step-by-step explanation:

Given the two point:

• A (2, 1)
• B (5, -8)

We use Slope-Intercept Form to create the equation of the line that goes through the two points above

y =mx + b where m is the slope and b is the y-intercept

Step 1: find the slope of it

$m=\frac{y_2-y_1}{x_2-x_1}$

<=> m = $\frac{-8-1}{5-2} = \frac{-9}{3} = -3$

=> our equation: y = -3x + b (1)

Now, plug one of the points (either one!) together with m into (1), we have:

1 = -3*2+ b

<=> b = 7

Hence, the equation is: y = -3m + 7

Hope it will find you well.