Y-intercept and Slope

How do you graph a linear equation using the slope and y-intercept?

• Start at the y-intercept on the y-axis, then use the slope to determine the rise over run to plot additional points.

• Begin at the origin and draw a horizontal line to represent the slope.

• Plot the slope on the x-axis and the y-intercept on the y-axis, then connect the points.

• Use the slope to find the x-intercept and plot it on the graph.

What is the y-intercept of the equation y=5?

• 1

• 3

• 5

• 0

How can you determine the slope from two points on a line?

• The slope can be calculated using the formula (y2 - y1) / (x2 - x1) where (x1, y1) and (x2, y2) are the two points.

• The slope is the distance between the two points divided by the time taken to travel between them.

• The slope can be found by averaging the x-coordinates of the two points.

• The slope is the product of the x-coordinates of the two points.

Tags

CCSS.8.EE.B.5

What is the y-intercept in a graph?

• The point where the graph intersects the x-axis.

• The point where the graph intersects the y-axis, representing the value of y when x is 0.

• The slope of the graph at any given point.

• The maximum value of y in the graph.

What is the significance of the y-intercept in a business graph?

• It represents the total revenue of the business.

• It indicates the initial investment or starting point of a business before any sales occur.

• It shows the maximum profit achievable by the business.

• It reflects the average cost of production over time.

Tags

CCSS.HSF.LE.B.5

What is the slope of the line represented by the equation y=3x+2?

• 1

• 2

• 3

• 4

Tags

CCSS.8.EE.B.5

If the slope of a line is 0, what does that mean?

• The line is vertical, indicating that y changes as x changes.

• The line is horizontal, indicating that y does not change as x changes.

• The line has a positive slope, indicating that y increases as x increases.

• The line has a negative slope, indicating that y decreases as x increases.

Tags

CCSS.8.EE.B.5

How do you find the y-intercept from an equation?

• Set y to 0 in the equation and solve for x.

• Set x to 0 in the equation and solve for y.

• Find the slope of the equation.

• Add the coefficients of the equation.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

What does a positive slope indicate about a line?

• A positive slope indicates that as x increases, y also increases, showing an upward trend.

• A positive slope indicates that as x increases, y decreases, showing a downward trend.

• A positive slope indicates that y remains constant regardless of x.

• A positive slope indicates that y increases at a decreasing rate as x increases.

Tags

CCSS.8.EE.B.5

If the slope is undefined, what does that mean?

• The line is horizontal, indicating that y does not change as x changes.

• The line is vertical, indicating that x does not change as y changes.

• The line has a positive slope, indicating a direct relationship between x and y.

• The line has a negative slope, indicating an inverse relationship between x and y.

Tags

CCSS.8.EE.B.5