Different Forms of Equations Form Equation Slope Intercept
- Slides: 15
Different Forms of Equations Form Equation Slope Intercept y = mx + b Description m is the slope, b is the y-intercept Point Slope y – y 1 = m(x – x 1) m is the slope, (x 1, y 1) is a given point Standard Ax + By = C A and B are not both 0. A, B, and C have a GCF of 1. A is usually non-negative.
Write the point-slope form of an equation for a line that passes through (– 2, 0) with slope Point-slope form Simplify. Answer: The equation is
Write the point-slope form of an equation for a horizontal line that passes through (0, 5). Point-slope form Simplify. Answer: The equation is
Write the point-slope form of an equation for a line that passes through (4, – 3) with slope – 2. Write the point-slope form of an equation for a horizontal line that passes through (– 3, – 4).
Write in standard form. In standard form, the variables are on the left side of the equation. A, B, and C are all integers. Original equation Multiply each side by 4 to eliminate the fraction. Distributive Property
Subtract 3 x from each side. Simplify. Answer: The standard form of the equation is
Write in slope-intercept form. In slope-intercept form, y is on the left side of the equation. The constant and x are on the right side. Original equation Distributive Property Add 5 to each side.
Simplify. Answer: The slope-intercept form of the equation is
Write in standard form. in slope-intercept form.
The figure shows trapezoid ABCD with bases and Write the point-slope form of the lines containing the bases of the trapezoid.
Step 1 First find the slopes of and Slope formula
Step 2 You can use either point for (x 1, y 1) in the point-slope form. Method 1 Use (– 2, 3). Method 2 Use (4, 3).
Method 1 Use (1, – 2). Method 2 Use (6, – 2). Answer: The point-slope form of the equation containing
Write each equation in standard form. Original equation Add 3 to each side. Answer: Simplify. Original equation Subtract 2 from each side. Answer: Simplify.
The figure shows right triangle ABC. a. Write the point-slope form of the line containing the hypotenuse Answer: b. Write the equation in standard form. Answer:
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