Write Equations in Slope-Int. Form Given Pt. & Slope or Two Pts.

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 a linear equation?

Back

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

Front

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

Back

To convert from Ax + By = C to slope-intercept form, solve for y: y = (-A/B)x + (C/B).

Front

What is the slope of a line that is vertical?

Back

The slope of a vertical line is undefined.

Front

What is the slope of a line that is horizontal?

Back

The slope of a horizontal line is 0.

Front

Write the equation of a line with slope -2 that passes through the point (3, 5).

Back

y = -2x + 11.

Front

If a line has a slope of 1/2 and passes through the point (4, 2), what is the equation of the line?

Back

y = (1/2)x - 2.

Front

What is the slope of the line represented by the equation 3x + 4y = 12?

Back

The slope is -3/4.

Front

Write the equation of the line that passes through the points (1, 2) and (3, 6).

Back

y = 2x.