Question

CAN U SOLVE THIS

Find the value of b if the graph the equation y=−3x+b goes through the given point.
A(−2, 4) AND B(5,2)

Answer 1

I got this problem wrong and to all the people out there you are solving for B on both of them

Thank you have a good day.

Explanation:

Answer 2

Hello!

To the value of b, or the y-intercept, we need to substitute an ordered pair/point into the given equation.

Since we are given two points, we can use those two points to find two different equations.

Remember that ordered pairs are written as (x, y).

A(-2, 4)

y = -3x + b

4 = -3(-2) + b

4 = 6 + b (subtract 6 from both sides)

-2 = b

A) Therefore, the equation of the first ordered pair is y = -3x - 2.

B(5, 2)

2 = -3(5) + b

2 = -15 + b (add 15 to both sides)

17 = b

B) The equation of the second ordered pair is y= -3x + 17.

Final answers:

• A) y = -3x - 2
• B) y = -3x + 17