Slope Intercept Form

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

Back

The y-intercept (b) is the point where the line crosses the y-axis, represented as (0, b).

Front

Given the points (0, 6) and (6, 18), what is the slope of the line?

Back

The slope (m) is 2, calculated as m = (18 - 6) / (6 - 0).

Front

Write the slope-intercept form of the line with slope 1/2 through the point (2, 5).

Back

The equation is y = 1/2x + 4.

Front

What is the equation of a line with slope 4 that passes through the point (-2, 5)?

Back

The equation is y = 4x + 13.

Front

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

Back

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

Front

What is the slope of a line that decreases as you move from left to right?

Back

The slope is negative.

Front

Given the slope -3 and the point (-1, 4), what is the slope-intercept form of the line?

Back

The equation is y = -3x + 1.

Front

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

Back

The equation is y = 5x - 20.