Math 8 Unit 3: Writing Linear 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 'm' represent in the equation y = mx + b?

Back

The 'm' represents the slope of the line, indicating how steep the line is.

Front

What does the 'b' represent in the equation y = mx + b?

Back

The 'b' represents the y-intercept, which is 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 found by taking the difference in y-values divided by the difference in x-values (m = (y2 - y1) / (x2 - x1)).

Front

What is the y-intercept of the equation y = 2x + 3?

Back

The y-intercept is 3, which means the line crosses the y-axis at (0, 3).

Front

How can you determine if a linear equation is increasing or decreasing?

Back

If the slope (m) is positive, the line is increasing; if the slope is negative, the line is decreasing.

Front

Write a linear equation for a slope of -2 and a y-intercept of 4.

Back

The equation is y = -2x + 4.

Front

What is the slope of the line represented by the equation y = 5x - 1?

Back

The slope is 5.

Front

If a line passes through the points (1, 2) and (3, 6), what is the slope?

Back

The slope is 2, calculated as (6 - 2) / (3 - 1).

Front

What is the equation of a line with a slope of 3 that passes through the point (0, -2)?

Back

The equation is y = 3x - 2.