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 (m) from 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 (b) represent in the slope-intercept form?

Back

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

Front

Given the points (-4, 0) and (1, 5), what is the slope of the line?

Back

The slope is m = (5 - 0) / (1 - (-4)) = 5/5 = 1.

Front

Write the equation in slope-intercept form for the line with slope 1 and y-intercept 4.

Back

The equation is y = 1x + 4 or y = x + 4.

Front

What is the equation of a line with a slope of 2 and a y-intercept of 6?

Back

The equation is y = 2x + 6.

Front

How do you convert the equation y = 3x + 6 to slope-intercept form?

Back

The equation is already in slope-intercept form: y = mx + b.

Front

What is the slope of the line represented by the equation y = -1/3x - 2?

Back

The slope is -1/3.

Front

If a line has a slope of 1/3 and passes through the point (0, -3), what is its equation?

Back

The equation is y = 1/3x - 3.

Front

What does the term 'linear equation' mean?

Back

A linear equation is an equation that forms a straight line when graphed, typically in the form y = mx + b.