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

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 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

What is the y-intercept of a line?

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

How can you determine if two points lie on the same line?

Back

Two points lie on the same line if the slope calculated between them is the same as the slope of the line.

Front

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

Back

The equation is y = 2x + 1.

Front

What is the formula to convert a point-slope equation to slope-intercept form?

Back

Start with y - y1 = m(x - x1) and solve for y to get y = mx + (y1 - mx1).

Front

If a line has a slope of -1, what does this indicate about its direction?

Back

A slope of -1 indicates that the line descends from left to right.

Front

How do you find the equation of a line given two points?

Back

First, calculate the slope using the two points, then use the point-slope form to write the equation.

Front

What is the significance of the coordinates (0, b) in a linear equation?

Back

The coordinates (0, b) represent the y-intercept of the line.