Graph: y – 3 = 1/2 (x + 2)
2 answers:
Answer: See below
Concept:
There are different forms of linear equations:
- Slope-intercept form: y = mx + b
- Point-slope form: y - y₁ = m (x - x₁)
- Standard form: Ax + By = C
- Intercept form: x / x₁ + y / y₁ = 1
Solve:
Given: y - 3 = 1/2 (x + 2)
Here, we can see the linear equation is in the form of point-slope form.
x₁ = -2
y₁ = 3
m = 1/2
Point included in the graph = (-2, 3)
Slope of the graph = 1/2
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From the given information, a exists jointly proportional to b and c.
then
Therefore, the value of a exists 2.
<h3>What is the value of a?</h3>Given, a exists jointly proportional to b and c.
Taking K as the constant of proportionality.
a = K b c
For b = 8 and c = 9, the value of a = 4
4 = K(8)(9)
4 = 72 K
Dividing the equation by 72, we get
Using the value of K in the equation:
Substitute the values of b = 2 and c = 18, in the above equation
a = 2
Therefore, the value of a exists 2.
To learn more the value of x refers to:
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