6 x² y³ / 24 x³ y²

Divide numerator
and denominator by x² : 6 y² / 24 x y²

Divide numerator
and denominator by y² : 6 / 24x

Divide numerator
and denominator by 6 :  1 / 4x 

6 0

2 years ago

If the point (2, 5) is a solution to the system of equations shown below, then determine the missing values of b and m. Show how

antoniya [11.8K]

Complete Question:

If the point (2, 5) is a solution to the system of equations shown below, then determine the missing values of b and m. Show how you arrive at your answer.

1. y = 3x + b

2. y = mx + 9

Answer:

1. Intercept, b = -1

2. Slope, m = -2

Step-by-step explanation:

Given the following data;

Points on the line (x, y) = (2, 5)

To find the missing values;

Mathematically, the equation of a straight line is given by the formula;

y = mx + b

Where;

m is the slope.
x and y are the points
b is the intercept.

1. y = 3x + b

Substituting the value of x and y, we have;

5 = 3(2) + b

5 = 6 + b

b = 5 - 6

Intercept, b = -1

2. y = mx + 9

Substituting the value of x and y, we have;

5 = m(2) + 9

5 = 2m + 9

2m = 5 - 9

2m = -4

m = -4/2

Slope, m = -2

6 0

2 years ago