Writing Equations in 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

Write the equation of a line with a slope of 1 and a y-intercept of -3.

Back

y = 1x - 3 or y = x - 3.

Front

If a line passes through the points (2, 4) and (4, 8), what is its slope?

Back

The slope is m = (8 - 4) / (4 - 2) = 2.

Front

What is the equation of a line with a slope of -2 that passes through the point (1, 3)?

Back

y = -2x + 5.

Front

How do you convert the standard form of a linear equation to slope-intercept form?

Back

Rearrange the equation Ax + By = C to solve for y, resulting in y = (-A/B)x + (C/B).

Front

Write the equation of a line that passes through (0, 0) and (3, 9).

Back

y = 3x.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.