Alg 1 2-1 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 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 slope of a line represent?

Back

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

What is the y-intercept in the equation y = mx + b?

Back

The y-intercept (b) is the value of y when x = 0; it is the point where the line crosses the y-axis.

Front

Given the points (1, 2) and (3, 6), find the slope of the line passing through them.

Back

The slope m = (6 - 2) / (3 - 1) = 4 / 2 = 2.

Front

What is the equation of a line with a slope of -3 that passes through the point (2, 4)?

Back

Using the point-slope form, the equation is y - 4 = -3(x - 2), which simplifies to y = -3x + 10.

Front

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

Back

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

Front

Back

Front

If a line has a slope of 0, what does that indicate about the line?

Back

A slope of 0 indicates a horizontal line, meaning there is no change in y as x changes.

Front

Back