Writing Equations in Slope Intercept Form

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope (m) represent in a linear equation?

Back

The slope (m) represents the rate of change of y with respect to x, indicating how steep the line is.

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, indicating the value of y when x = 0.

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

The slope is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What type of line has a slope of 0?

Back

A horizontal line has a slope of 0.

Front

What type of line has an undefined slope?

Back

A vertical line has an undefined slope.

Front

Write the equation of a line with a slope of 3 that passes through the point (1, 2).

Back

y = 3x - 1.

Front

If a line passes through the points (2, 3) and (4, 7), what is the slope?

Back

The slope is 2.

Front

What is the slope of the line x = -5?

Back

The slope is undefined.

Front

Write the equation of a line that passes through the points (0, 1) and (2, 5).

Back

y = 2x + 1.