Slope Intercept Form y=mx+b

Front

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

Back

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

Front

What does the 'm' represent in the slope-intercept form?

Back

The 'm' represents the slope of the line, indicating how steep the line is.

Front

What does the 'b' represent in the slope-intercept form?

Back

The 'b' represents the y-intercept, the point where the line crosses the y-axis.

Front

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

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

If the slope of a line is 2/3, what does this mean?

Back

For every 3 units you move to the right (positive x-direction), the line rises 2 units (positive y-direction).

Front

What is the y-intercept of the line represented by the equation y = 4x + 5?

Back

The y-intercept is 5, which is the point (0, 5) on the graph.

Front

How do you graph the equation y = 3/4x?

Back

Start at (0,0), then go up 3 units and right 4 units to plot the next point.

Front

What is the ordered pair for the y-intercept of the equation y = -2/3x + 2?

Back

The ordered pair is (0, 2).

Front

Write the slope-intercept form of a line with a slope of -3 and a y-intercept of 0.

Back

y = -3x.

Front

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

Back

The slope is 0, indicating a horizontal line.