Question

Graph: y – 3 = 1/2 (x + 2)

Answer 1

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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Answer 2

The x-intercept is -8, the y-intercept is 4, and the slope is 1/2.

Explanation:

The x-intercept is -8, the y-intercept is 4, and the slope is 1/2.