Graphing 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

How do you identify the slope from the equation y = -3x + 4?

Back

The slope (m) is -3.

Front

What does the y-intercept represent in the equation y = -x + 2?

Back

The y-intercept (b) is 2, which means the graph crosses the y-axis at (0, 2).

Front

How can you determine the slope from the equation y = 3x?

Back

The slope (m) is 3, indicating that for every 1 unit increase in x, y increases by 3 units.

Front

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

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slant of the graph.

Front

How do you graph the equation y = -x + 2?

Back

Start at the y-intercept (0, 2) and use the slope of -1 to find another point: go down 1 unit and right 1 unit.

Front

What does the slope of 1/3 in the equation y = 1/3x - 2 indicate?

Back

The slope of 1/3 means that for every 3 units you move to the right on the x-axis, you move up 1 unit on the y-axis.

Front

How do you find the x-intercept of the equation y = -3x + 4?

Back

Set y to 0 and solve for x: 0 = -3x + 4, which gives x = 4/3.

Front

What is the graphical representation of y = 3x?

Back

The graph is a straight line passing through the origin (0,0) with a steep upward slope.

Front

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

Back

The equation is already in slope-intercept form with a slope of -1 and a y-intercept of 2.