Writing Linear Functions given point and slope

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the letter 'm' represent in the equation y = mx + b?

Back

The letter 'm' represents the slope of the line.

Front

What does the letter 'b' represent in the equation y = mx + b?

Back

The letter 'b' represents the y-intercept of the line.

Front

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

Back

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

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

If a line has an undefined slope, what does that indicate about the line?

Back

An undefined slope indicates that the line is vertical.

Front

How do you write the equation of a line given a slope and a point?

Back

Use the point-slope form: y - y1 = m(x - x1), then rearrange to slope-intercept form.

Front

What is the y-intercept of the line represented by the equation y = 3x + 4?

Back

The y-intercept is 4.

Front

Write the equation of a line with a slope of 1 and passing through the point (2, 3).

Back

The equation is y = 1x + 1 or y = x + 1.

Front

What is the slope of the line represented by the equation y = -2x + 5?

Back

The slope is -2.