Slope intercept form from a graph

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 represent in the equation y = mx + b?

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 represent in the equation y = mx + b?

Back

The y-intercept (b) is the point where the line crosses the y-axis, indicating the value of y when x = 0.

Front

If a line has a slope of 4, what does this mean?

Back

A slope of 4 means that for every 1 unit increase in x, y increases by 4 units.

Front

Write the equation of a line with a slope of -2 and a y-intercept of 5.

Back

y = -2x + 5.

Front

What is the slope of the line represented by the equation y = 3x - 7?

Back

The slope is 3.

Front

What is the y-intercept of the line represented by the equation y = -1/2x + 4?

Back

The y-intercept is 4.

Front

How do you find the slope from a graph?

Back

To find the slope from a graph, select two points on the line, calculate the rise (change in y) and run (change in x), and use the formula slope = rise/run.

Front

What is the equation of a line with a slope of 0?

Back

The equation is y = b, where b is the y-intercept, indicating a horizontal line.

Front

If the equation of a line is y = -3x + 2, what is the slope?

Back

The slope is -3.