y=mx+b from Tables

Front

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

Back

The slope (m) represents the rate of change of y with respect to x, indicating how steep the line is.

Front

What does the y-intercept (b) represent in the equation y=mx+b?

Back

The y-intercept (b) is the value of y when x is 0, indicating where the line crosses the y-axis.

Front

Write a linear equation in the form of y=mx+b for a slope of 2 and a y-intercept of 3.

Back

y = 2x + 3

Front

If a line has a slope of -1 and a y-intercept of 4, what is the equation?

Back

y = -1x + 4 or y = -x + 4

Front

How do you determine 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 equation of a line with a slope of 0?

Back

The equation is y = b, where b is the y-intercept, indicating a horizontal line.

Front

What is the equation of a vertical line?

Back

The equation is x = a, where a is the x-coordinate of all points on the line.

Front

Write a linear equation in the form of y=mx+b for a slope of 3 and a y-intercept of -2.

Back

y = 3x - 2

Front

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

Back

A positive slope 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

A negative slope indicates that the line falls from left to right.