Graphing Linear Equations

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

If m=3 and b=6, what is the slope-intercept equation?

Back

y = 3x + 6

Front

What does the slope of a line represent?

Back

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

Front

Given a slope of 2/3 and a y-intercept of -3, what is the equation of the line?

Back

y = 2/3x - 3

Front

How do you find the y-intercept from the equation y = -3x + 7?

Back

The y-intercept is the value of y when x = 0, which is 7.

Front

What is the slope of the line represented by the equation y = -x + 4?

Back

The slope is -1.

Front

If the slope is 3/2, what does this indicate about the line?

Back

It indicates that for every 2 units moved horizontally to the right, the line moves up 3 units.

Front

What is the y-intercept in the equation y = 5x - 2?

Back

The y-intercept is -2.

Front

How do you determine 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 1?

Back

y = -2x + 1.