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 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 slope-intercept form?

Back

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

Front

Write the equation of the line that passes through the points (2, 0) and (0, 3).

Back

y = -1/2 x + 3

Front

Write the equation of a line that passes through the points (2, 7) and (0, 1).

Back

y = 3x + 1

Front

Write the equation of a line that passes through the point (-2, 0) and has a slope of -3.

Back

y = -3x - 6

Front

What is the slope of the line that passes through (2, 5) and (2, 12)?

Back

Undefined (the line is vertical).

Front

Find the slope between (2, 13) and (1, 8).

Back

5

Front

What does it mean if the slope of a line is zero?

Back

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