Slope Intercept Form (graphs, tables, verbal)

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 'm' represent in the equation y = mx + b?

Back

The 'm' represents the slope of the line.

Front

How do you find the slope from a graph?

Back

The slope is found by calculating the rise over run between two points on the line.

Front

What is the y-intercept in the equation y = mx + b?

Back

The y-intercept is the value of y when x = 0, represented by 'b' in the equation.

Front

If a line has a slope of -2, what does this indicate about the line's direction?

Back

A slope of -2 indicates that the line descends from left to right.

Front

How can you convert a word problem into slope-intercept form?

Back

Identify the initial value (y-intercept) and the rate of change (slope) from the problem.

Front

What is the equation of a line with a slope of 3 and a y-intercept of 4?

Back

The equation is y = 3x + 4.

Front

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

Back

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

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates a horizontal line.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.