Equation of a Line from a Graph

Front

What is the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the letter 'm' represent in the equation y = mx + b?

Back

The letter 'm' represents the slope of the line.

Front

What does the letter 'b' represent in the equation y = mx + b?

Back

The letter 'b' represents the y-intercept of the line.

Front

How do you find the slope of a line from a graph?

Back

The slope is found by taking the rise (change in y) over the run (change in x) between two points on the line.

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 a line that goes through the points (2, 3) and (4, 7)?

Back

The slope is 2, calculated as (7-3)/(4-2) = 4/2 = 2.

Front

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

Back

The y-intercept is 5, which is the value of y when x = 0.

Front

How do you write the equation of a line given its slope and 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 3 and a y-intercept of -2?

Back

The equation is y = 3x - 2.