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

<em>Intercept, b = -1</em>

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

<em>Slope, m = -2</em>

6 0

2 years ago

A set of 6 number cards contains the numbers 2,5,7,8,9, and 11. Which ratio of odd number cards to total cards in the set?

Harlamova29_29 [7]

The ratio would be 4:6 because there are 6 number in total and 4 of them are odd numbers.

6 0

2 years ago

Mario walks his dog every day the walk path makes a giant loop that 279 feet long if Mario and his dog make 3 laps around the lo

sp2606 [1]

Answer:

Step-by-step explanation:

multiply 279 by 3= 837

6 0

3 years ago