Y=MX+B from Graph, Table, Ordered Pair

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 = -2/3x + 5?

Back

The slope (m) is -2/3.

Front

What is the y-intercept in the equation y = -2/3x + 5?

Back

The y-intercept (b) is 5.

Front

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

Back

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

Front

What is the slope of a line that rises 3 units for every 4 units it runs?

Back

The slope (m) is 3/4.

Front

If a line has a slope of 1 and passes through the point (0, -6), what is the equation of the line?

Back

The equation is y = x - 6.

Front

What does the point (0, b) represent in a linear equation?

Back

It represents the y-intercept of the line.

Front

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

Back

The equation is y = (-3/4)x - 3.

Front

How can you determine the equation of a line from a table of values?

Back

Identify the slope from the change in y over the change in x, then use a point to find the y-intercept.

Front

What is the y-intercept of the line represented by the equation y = 1/4x - 3?

Back

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