Y=mx+b from tables

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 'b' represent in the equation y=mx+b?

Back

The 'b' represents the y-intercept, which is the value of y when x=0.

Front

Write a linear equation in the form of y=mx+b for a slope of 2 and a y-intercept of 5.

Back

y = 2x + 5

Front

If the slope of a line is -3, what does this indicate about the line's direction?

Back

The line decreases as x increases, indicating a negative relationship.

Front

Convert the slope-intercept form y=mx+b to standard form Ax + By = C.

Back

Rearrange the equation to get Ax + By = C, where A, B, and C are integers.

Front

What is the slope of the line represented by the equation y = 4x - 7?

Back

The slope is 4.

Front

How do you find the y-intercept from a linear equation in slope-intercept form?

Back

The y-intercept is the value of 'b' in the equation y=mx+b.

Front

Write a linear equation in the form of y=mx+b that passes through the point (1, 2) with a slope of 3.

Back

y = 3x - 1.

Front

What is the relationship between the slope and the steepness of a line?

Back

A larger absolute value of the slope indicates a steeper line.

Front

If a line has a slope of 0, what does this mean about the line?

Back

The line is horizontal and does not change in y as x changes.