Writing the Equation of a Line: Slope-Intercept

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

How do you identify the slope from the equation y = mx + b?

Back

The slope (m) is the coefficient of x in the equation.

Front

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

Back

The y-intercept (b) represents the point where the line crosses the y-axis.

Front

Given the slope -4 and y-intercept -4, what is the equation of the line?

Back

y = -4x - 4.

Front

If the slope is -2 and the y-intercept is 12, what is the equation of the line?

Back

y = -2x + 12.

Front

What is the slope of the line represented by the equation y = 3x + 5?

Back

The slope is 3.

Front

What is the y-intercept of the line represented by the equation y = -x + 7?

Back

The y-intercept is 7.

Front

How do you convert the standard form Ax + By = C to slope-intercept form?

Back

Solve for y to get y = (-A/B)x + (C/B).

Front

What is the slope of the line represented by the equation 2x + 3y = 6?

Back

The slope is -2/3.

Front

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

Back

The line is horizontal.