Different Forms of Equations Form Equation Slope Intercept

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Different Forms of Equations Form Equation Slope Intercept y = mx + b Description

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 (–

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

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,

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

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

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

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

Simplify. Answer: The slope-intercept form of the equation is

Write in standard form. in slope-intercept form.

Write in standard form. in slope-intercept form.

The figure shows trapezoid ABCD with bases and Write the point-slope form of the

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 1 First find the slopes of and Slope formula

Step 2 You can use either point for (x 1, y 1) in the

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

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:

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

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: