y=mx+b

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=3x+6?

Back

The slope (m) is 3.

Front

What is the y-intercept in the equation y=-3x-5?

Back

The y-intercept (b) is -5.

Front

How do you identify a negative slope in an equation?

Back

A negative slope is indicated by a negative value of m in the equation y=mx+b.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that the line rises as it moves from left to right.

Front

If m=0 in the equation y=mx+b, what does the graph look like?

Back

The graph is a horizontal line.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis.

Front

How can you determine the slope from two points on a line?

Back

The slope (m) can be calculated using the formula m=(y2-y1)/(x2-x1).

Front

What does it mean if an equation has a y-intercept of (0,1)?

Back

It means that the line crosses the y-axis at the point (0,1).

Front

Which equation has a negative y-intercept: y=3x+5, y=-3x+5, or y=-3x-5?

Back

y=-3x-5 has a negative y-intercept.