Find the point-slope form equation of the line graphed below.
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Find the standard form equation of the line graphed below.
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Find the point-slope form equation of the line graphed below. Show your work here Enter your answer Find the standard form equation of the line graphed below. Show your work here Enter your answer
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I’d be happy to help you with the point-slope form and the standard form equation of a line!
Point-Slope Form Equation
The point-slope form of a line is given by the formula:
[ y – y_1 = m(x – x_1) ]
where ( m ) is the slope of the line and ( (x_1, y_1) ) is a point on the line.
1. Identify the slope (m): Determine the slope by picking two points on the line. The slope is calculated as:
[ m = frac{y_2 – y_1}{x_2 – x_1} ]
2. Choose a point (x₁, y₁): You can use any point on the line for this.
3. Plug values into the point-slope formula.
Example:
If the slope (m = 2) and a point on the line is (1, 3), then the equation becomes:
[ y – 3 = 2(x – 1) ]
Standard Form Equation
The standard form of a line is expressed as:
[ Ax + By = C ]
where A, B, and C are integers, and A should be non-negative.
1. Start from the point-slope form: Rearranging it to get into the standard form.
2. **Rearrange