Writing Equations from Tables

Front

What is the slope in a linear equation?

Back

The slope (m) represents the rate of change of the dependent variable (y) with respect to the independent variable (x). It indicates how steep the line is.

Front

What is the y-intercept in a linear equation?

Back

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

Front

Write a linear equation in the form of y=mx+b given a slope of 2 and a y-intercept of -1.

Back

y = 2x - 1

Front

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

Back

Calculate the change in y divided by the change in x (rise/run) between two points.

Front

What does the equation y = 3x + 9 represent?

Back

It represents a linear relationship where the slope is 3 and the y-intercept is 9.

Front

If a table shows the points (1, 5) and (2, 8), what is the slope?

Back

The slope is 3, calculated as (8-5)/(2-1).

Front

What is the general form of a linear equation?

Back

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

Front

How can you identify a linear equation from a set of points?

Back

If the points form a straight line when plotted on a graph, they represent a linear equation.

Front

What is the significance of the slope in real-world applications?

Back

The slope can represent speed, growth rate, or any rate of change in various contexts.

Front

Write a linear equation that has a slope of 1 and a y-intercept of 4.

Back

y = x + 4