Writing Slope Intercept Form from Graph

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

What does the slope (m) represent in a linear equation?

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 (b) represent in a linear equation?

Back

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

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) over the run (change in x).

Front

If a line rises from left to right, what can you say about its slope?

Back

If a line rises from left to right, its slope is positive.

Front

If a line falls from left to right, what can you say about its slope?

Back

If a line falls from left to right, its slope is negative.

Front

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

Back

The slope of the line is 3.

Front

What is the y-intercept of the line represented by the equation y = -2x + 5?

Back

The y-intercept of the line is 5.

Front

How do you write the equation of a line given a slope and a y-intercept?

Back

Use the slope-intercept form: y = mx + b, substituting m for the slope and b for the y-intercept.

Front

What is the equation of a line with a slope of -1 and a y-intercept of 4?

Back

The equation is y = -1x + 4 or y = -x + 4.