Slope Intercept, Point Slope, & Standard 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 from Slope-Intercept Form to Standard Form?

Back

To convert to Standard Form (Ax + By = C), rearrange the equation to get x and y on the same side and constants on the other.

Front

What is Point-Slope Form of a linear equation?

Back

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

Front

How do you find the slope from two points (x1, y1) and (x2, y2)?

Back

The slope m is calculated as m = (y2 - y1) / (x2 - x1).

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

How do you find the x-intercept of a line?

Back

To find the x-intercept, set y = 0 in the equation and solve for x.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

Convert the equation y = -3x + 4 to Standard Form.

Back

The Standard Form is 3x + y = 4.

Front

Write the equation of a line in Point-Slope Form that passes through (2, 3) with a slope of 4.

Back

y - 3 = 4(x - 2).

Front

What is the relationship between the slopes of parallel lines?

Back

Parallel lines have the same slope.