Graphing 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 of a line represent?

Back

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

Front

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

Back

The y-intercept is the value of b in the equation, which is the point where the line crosses the y-axis.

Front

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

Back

The slope is 3.

Front

How do you graph the equation y = -x + 2?

Back

Start at the y-intercept (0, 2) and use the slope of -1 to find another point, then draw the line.

Front

What is the y-intercept of the equation y = -2x + 1?

Back

The y-intercept is 1.

Front

If a line has a slope of 1/2, what does this mean?

Back

For every 2 units you move to the right on the x-axis, you move up 1 unit on the y-axis.

Front

Which equation represents a line with a negative slope?

Back

y = -x is an example of a line with a negative slope.

Front

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

Back

The slope m is calculated as m = (y2 - y1) / (x2 - x1).

Front

What is the graph of y = x?

Back

The graph is a straight line that passes through the origin with a slope of 1.