Identifying y=mx+b graphs

Front

What does the equation y=mx+b represent?

Back

It represents the slope-intercept form of a linear equation, where m is the slope and b is the y-intercept.

Front

What is the slope in the equation y=-x+2?

Back

The slope (m) is -1.

Front

How do you identify the y-intercept from the equation y=mx+b?

Back

The y-intercept (b) is the value of y when x=0.

Front

What is the y-intercept of the equation y=2x-3?

Back

The y-intercept is (0,-3).

Front

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

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What is the slope of the line represented by the points (1,2) and (3,4)?

Back

The slope is 1.

Front

If the slope of a line is positive, what does that indicate about the line's direction?

Back

It indicates that the line rises from left to right.

Front

If the slope of a line is negative, what does that indicate about the line's direction?

Back

It indicates that the line falls from left to right.

Front

What is the slope of the line represented by the equation y=4/5x + 1?

Back

The slope is 4/5.

Front

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

Back

The y-intercept is (0,2).