Slope Intercept Form

Front

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

Back

The slope-intercept form of a linear equation is given by 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 slope-intercept form?

Back

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

Front

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

Back

To convert from standard form Ax + By = C to slope-intercept form, solve for y to isolate it on one side of the equation.

Front

What is the slope of the line represented by the equation y = -3x + 4?

Back

The slope of the line is -3.

Front

If a line has a slope of 1/2, what does this indicate about the line's steepness?

Back

A slope of 1/2 indicates that for every 2 units you move horizontally to the right, the line rises 1 unit.

Front

How do you find the y-intercept from the equation y = 4x + 3?

Back

The y-intercept is the value of y when x = 0, which is 3 in this case.

Front

What is the ordered pair for x = 2 in the equation y = -3x - 5?

Back

The ordered pair is (2, -11) when you substitute x = 2 into the equation.

Front

How can you graph the equation y = x + 2?

Back

To graph y = x + 2, start at the y-intercept (0, 2) and use the slope of 1 to find another point.

Front

What does a negative slope indicate about a line's direction?

Back

A negative slope indicates that the line descends from left to right.