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
<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>
Answer:
The rest of the months.
Step-by-step explanation:
The x-line shows Months of the Year. However, only 6/12 are provided. Therefore, the rest of the months would be the answer.
An isosceles triangle has two equal sides.
a= one equal side
b=base
b+2a=35
a=b+4
b+ 2(b+4)=35
b+2b+8=35
3b+8=35
3b=27
b=9
a=13
Answer:
Step-by-step explanation:
Since both fractions have a common denominator then subtract the numerators leaving the denominator, that is
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