Writing Equations From Tables & Graphs

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 the slope (m) represent in a linear equation?

Back

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

Front

What does the y-intercept (b) represent in a linear equation?

Back

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

Front

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

Back

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

Front

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

Back

The equation is y = 2x - 3.

Front

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

Back

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

Front

What is the graph of y = -x + 2?

Back

The graph is a straight line with a slope of -1 and a y-intercept at (0, 2).

Front

If m = 3 and b = 6, what is the equation of the line?

Back

The equation is y = 3x + 6.

Front

Which equation matches the table where y increases by 1 when x increases by 1?

Back

The equation is y = x + 4.

Front

What is the equation of the line that passes through the points (1, 0) and (3, -2)?

Back

First, find the slope: m = (-2 - 0) / (3 - 1) = -1. Then use point-slope form: y - 0 = -1(x - 1) => y = -x + 1.