Writing Equations REVIEW

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

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the slope-intercept form.

Front

Given the points (-4, 0) and (1, 5), write the equation in slope-intercept form.

Back

y = x + 4.

Front

What is the equation of a line that passes through the point (6, 3) with a slope of 1?

Back

y = 1x - 3.

Front

How can you determine if a given equation represents a linear function?

Back

A linear function can be identified if it can be written in the form y = mx + b, where m and b are constants.

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the steepness of the line and the direction it moves; a positive slope rises, while a negative slope falls.

Front

If a line has a slope of -4/5, what does this indicate about its direction?

Back

A slope of -4/5 indicates that for every 5 units moved to the right, the line moves down 4 units.

Front

How do you convert the equation y = -2x + 4 into standard form?

Back

To convert to standard form, rearrange to 2x + y = 4.

Front

What is the equation of a line with a slope of 3 and a y-intercept of 2?

Back

y = 3x + 2.