Tables & Equations FLASHCARDIZZ

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What does 'm' represent in the slope-intercept form?

Back

'm' represents the slope of the line, indicating the rate of change of y with respect to x.

Front

What does 'b' represent in the slope-intercept form?

Back

'b' represents the y-intercept, the point where the line crosses the y-axis.

Front

How do you find the slope from a table of values?

Back

The slope (m) can be calculated as the change in y divided by the change in x (m = Δy/Δx).

Front

Given the points (2, 8) and (4, 12), what is the slope?

Back

The slope is (12 - 8) / (4 - 2) = 4 / 2 = 2.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line, represented by the equation y = mx + b.

Front

How do you convert a table of values into an equation?

Back

Identify the slope and y-intercept from the table, then use the slope-intercept form to write the equation.

Front

What is the equation of a line with a slope of 3 and a y-intercept of -2?

Back

The equation is y = 3x - 2.

Front

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

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slant from left to right.

Front

What is the relationship between x and y in the equation y = 5x + 5?

Back

For every increase of 1 in x, y increases by 5.