Algebraic Relationships from Tables & Graphs

Front

What is the equation of a line with a slope of 1 and a y-intercept of 2?

Back

y = x + 2

Front

Which line is steeper: y = 5x or y = x + 5?

Back

y = 5x is steeper because y increases more rapidly for each value of x.

Front

Write the equation for a line that passes through the origin and has a slope of 3.

Back

y = 3x

Front

What does the slope of a line represent in a graph?

Back

The slope represents the rate of change of y with respect to x.

Front

If y = 2x + 1, what is the y-value when x = 3?

Back

y = 2(3) + 1 = 7

Front

What is the y-intercept of the equation y = 4x - 3?

Back

The y-intercept is -3.

Front

How do you determine if a relationship is linear from a table of values?

Back

If the differences between y-values for equal differences in x-values are constant, the relationship is linear.

Front

What is the equation for a line that has a slope of -2 and passes through the point (0, 4)?

Back

y = -2x + 4

Front

What does it mean if two lines are parallel?

Back

Two lines are parallel if they have the same slope but different y-intercepts.

Front

What is the equation of a line that is vertical?

Back

The equation of a vertical line is of the form x = a, where a is a constant.