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

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 identify the slope from the equation y = 3x + 5?

Back

The slope is 3, which is the coefficient of x.

Front

How do you identify the y-intercept from the equation y = -2x + 4?

Back

The y-intercept is 4, which is the constant term.

Front

Write the slope-intercept form of the line with slope 2 and y-intercept -3.

Back

y = 2x - 3.

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

If a line has an undefined slope, what does that indicate about the line?

Back

An undefined slope indicates a vertical line, meaning x is constant and does not change.

Front

Convert the equation 2x - 3y = 6 to slope-intercept form.

Back

y = (2/3)x - 2.

Front

What is the slope of the line represented by the equation y = -5x + 1?

Back

The slope is -5.