Slope Intercept Form

Front

What is the slope-intercept form of a linear equation?

Back

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

Front

What do the variables m and b represent in the slope-intercept form?

Back

In the equation y = mx + b, m represents the slope of the line, and b represents the y-intercept, which is the point where the line crosses the y-axis.

Front

How do you find the slope of a line from a graph?

Back

The slope is calculated as 'rise over run', which means the change in y (vertical) divided by the change in x (horizontal).

Front

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

Back

y = 5x - 3

Front

Identify the slope and y-intercept in the equation: y = 4x + 2.

Back

Slope: 4, y-intercept: 2

Front

What is the slope of the line represented by the equation y = -2x + 7?

Back

The slope is -2.

Front

Write a linear equation in slope-intercept form for a line with a slope of -1 and a y-intercept of 4.

Back

y = -1x + 4 or y = -x + 4

Front

How do you convert the equation 3x + 2y = 6 into slope-intercept form?

Back

Rearranging gives y = -3/2x + 3.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that the line rises as it moves from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line falls as it moves from left to right.