Slope Intercept Form: 2 Points and a point and a 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

How do you calculate 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 (2, 2) and (3, 4), what is the slope of the line?

Back

The slope is 2, calculated as (4 - 2) / (3 - 2).

Front

If a line has a slope of -3 and passes through the point (1, 5), what is its equation in slope-intercept form?

Back

The equation is y = -3x + 8.

Front

What is the slope of a line that is horizontal?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a line that is vertical?

Back

The slope of a vertical line is undefined.

Front

How do you find the y-intercept from the equation y = 4x - 7?

Back

The y-intercept is -7, which is the value of b in the equation.

Front

Write the equation of the line in slope-intercept form that has a slope of 2 and passes through the point (0, 3).

Back

The equation is y = 2x + 3.

Front

What is the slope of the line represented by the equation y = -1/2x + 4?

Back

The slope is -1/2.