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 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 = (18 - 6) / (6 - 0) = 12 / 6 = 2.

Front

Write the slope-intercept form of the line with slope -3 that passes through the point (-1, 4).

Back

The equation is y = -3x + 1.

Front

What is the equation of the line that passes through the points (2, 2) and (3, 4)?

Back

The equation is y = 2x - 2.

Front

How do you convert a point-slope form to slope-intercept form?

Back

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

Front

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

Back

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

Front

Given the slope m = 5/4 and the point (-4, -3), write the equation of the line in slope-intercept form.

Back

The equation is y = 5/4x + 2.

Front

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

Back

The slope is 1/2.