Equation of a line from a graph

Front

What is the slope in the equation y=mx+b?

Back

The slope (m) represents the rate of change of y with respect to x.

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.

Front

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

Back

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

Front

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

Back

The slope is 2.

Front

What is the equation of a line with a slope of 1/3 and a y-intercept of -2?

Back

The equation is y = 1/3x - 2.

Front

If m=3 and b=6, what is the slope-intercept equation?

Back

The equation is y = 3x + 6.

Front

What is the equation of a line with a slope of -4/5 and a y-intercept of 3?

Back

The equation is y = -4/5x + 3.

Front

What does it mean if a line has a positive slope?

Back

A positive slope indicates that as x increases, y also increases.

Front

What does it mean if a line has a negative slope?

Back

A negative slope indicates that as x increases, y decreases.

Front

How can you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope.