Slope-Intercept Form, Standard Form, and Point Slope Form

Front

What is the Slope-Intercept Form of a linear equation?

Back

The Slope-Intercept Form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you convert an equation from Standard Form to Slope-Intercept Form?

Back

To convert from Standard Form (Ax + By = C) to Slope-Intercept Form (y = mx + b), isolate y by subtracting Ax from both sides and then dividing by B.

Front

What is the Standard Form of a linear equation?

Back

The Standard Form is given by the equation Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

What is the Point-Slope Form of a linear equation?

Back

The Point-Slope Form is given by the equation y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.

Front

Convert the equation y + 2 = -3(x - 5) to Slope-Intercept Form.

Back

y = -3x + 13.

Front

What is the first step to write 2x - y = 7 in Slope-Intercept Form?

Back

Subtract 2x from both sides.

Front

Which equation represents a line with a slope of 3 that passes through the point (1, 7)?

Back

y - 7 = 3(x - 1).

Front

How do you write the equation y = 2/3x + 5 in Standard Form?

Back

2x - 3y = -15.

Front

What does the slope (m) represent in a linear equation?

Back

The slope (m) represents the rate of change of y with respect to x, indicating how steep the line is.

Front

What is the y-intercept (b) in the Slope-Intercept Form?

Back

The y-intercept (b) is the point where the line crosses the y-axis, represented as (0, b).