Writing Equations From Graphs and Tables

Front

What is the equation that represents Nancy's typing speed if she types 50 words per minute?

Back

w = 50m, where w is the total words typed and m is the minutes.

Front

What is the equation of the linear function with a slope of 3 and a y-intercept of 16?

Back

y = 3x + 16.

Front

How do you write the equation for a table where the output increases by 1/4 for every increase of 1 in the input, starting from -3?

Back

y = \frac{1}{4}x - 3.

Front

What is the equation of the line with a slope of \frac{2}{3} and a y-intercept of -1?

Back

y = \frac{2}{3}x - 1.

Front

Define a linear equation.

Back

A linear equation is an equation that makes a straight line when graphed, typically in the form y = mx + b.

Front

What does the slope of a line represent?

Back

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

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the value of y when x is 0, representing where the line crosses the y-axis.

Front

How can you determine the slope from a graph?

Back

The slope can be determined by selecting two points on the line and using the formula \frac{y_2 - y_1}{x_2 - x_1}.

Front

What is the general form of a linear equation?

Back

The general form is Ax + By = C, where A, B, and C are constants.

Front

What does it mean if a line has a negative slope?

Back

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