Identifying Slope and y-Intercepts

This video tutorial explains how to identify the slope and y-intercept of a line from both equations and graphs. It introduces the concept of slope as the constant of proportionality and the y-intercept as the point where the line crosses the y-axis. The tutorial covers proportional equations, the slope-intercept form, and how to graph and calculate slope. It also demonstrates how to identify slope and y-intercept from equations and graphs, and how to write equations using given slope and y-intercept values.

What is the slope in the context of a line?

• The point where the line crosses the x-axis

• The constant of proportionality, change in Y over change in X

• The point where the line crosses the y-axis

• The variable that represents the y-intercept

Tags

CCSS.8.EE.B.5

How is the y-intercept represented in an equation?

• As the constant of proportionality

• As the slope of the line

• As an ordered pair (0, B)

• As the coefficient of x

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

In a proportional equation, what is the y-intercept?

• Equal to the coefficient of x

• Equal to the slope

• Always 0

• Always 1

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

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

• y = kx + m

• y = mx + b

• y = bx + m

• y = kx

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

When identifying the slope from a graph, what should you do first?

• Pick the point where the line crosses the x-axis

• Pick the point where the line crosses the y-axis

• Pick two points where the line intersects the corners

• Pick any two points on the line

Tags

CCSS.8.EE.B.5

How do you calculate the slope from a graph?

• Change in X over change in Y

• Change in Y over change in X

• Sum of X and Y coordinates

• Difference of X and Y coordinates

Tags

CCSS.8.EE.B.5

What is the y-intercept of the line if the equation is y = 2x - 4?

• (0, -4)

• (2, 0)

• (0, 2)

• (-4, 0)

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

If the slope of a line is -4/3, what does this indicate about the line?

• The line rises 3 units for every 4 units it runs

• The line falls 3 units for every 4 units it runs

• The line falls 4 units for every 3 units it runs

• The line rises 4 units for every 3 units it runs

Tags

CCSS.8.EE.B.5

How do you graph a line given the slope and y-intercept?

• Plot the origin and use the slope to find another point

• Plot any two points and draw the line

• Plot the y-intercept and use the slope to find another point

• Plot the x-intercept and use the slope to find another point

What is the equation of a line with a slope of 3/2 and a y-intercept of 3?

• y = 3x + 2

• y = 3/2x + 3

• y = 2/3x + 3

• y = 2x + 3

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3