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

How do you identify the slope from a linear equation?

Back

The slope (m) is the coefficient of x in the equation y = mx + b.

Front

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

Back

The y-intercept (b) is the point where the line crosses the y-axis.

Front

Write the equation of a line with a slope of -3 and a y-intercept of 5.

Back

y = -3x + 5

Front

If a line passes through the points (2, 3) and (4, 7), what is the slope?

Back

The slope is 2, calculated as (7-3)/(4-2).

Front

What is the equation of a line with a slope of 1 and passing through the origin?

Back

y = 1x + 0 or simply y = x.

Front

How do you convert a table of values into a linear equation?

Back

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

Front

What is the significance of a positive slope in a linear equation?

Back

A positive slope indicates that as x increases, y also increases.

Front

What does a slope of zero indicate about a line?

Back

A slope of zero indicates a horizontal line, meaning y remains constant regardless of x.

Front

Write the equation of a line with a slope of 2 that passes through the point (1, 3).

Back

y = 2x + 1.