Writing Equations of Linear Functions

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 identify the slope from the equation y = 2x + 4?

Back

The slope (m) is 2.

Front

What does the y-intercept represent in the equation y = mx + b?

Back

The y-intercept (b) represents the point where the line crosses the y-axis.

Front

Given the slope -4 and y-intercept -4, write the equation of the line.

Back

y = -4x - 4.

Front

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

Back

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

Front

Write the equation of the line through the points (−6, −19) and (2, 5).

Back

y = 3x - 1.

Front

What is the slope of the line represented by the equation y = -2x + 13?

Back

The slope (m) is -2.

Front

If a line has a slope of 0, what does that indicate about the line?

Back

A slope of 0 indicates that the line is horizontal.

Front

What is the equation of a vertical line that passes through the point (3, 4)?

Back

x = 3.

Front

How do you convert the standard form of a linear equation Ax + By = C to slope-intercept form?

Back

Solve for y to get y = (-A/B)x + (C/B).