Finding Y-Intercepts from Linear Tables

The video tutorial explains how to write equations in slope-intercept form using data from tables. It covers identifying the slope and y-intercept, and solving for the y-intercept when it is not directly available. The tutorial includes multiple examples demonstrating these concepts, including handling negative slopes and large numbers, and simplifying the final equation.

What is the general form of the slope-intercept equation?

• y = bx + m

• y = mx + b

• x = my + b

• x = by + m

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

In the equation y = mx + b, what does 'm' represent?

• The y-intercept

• The constant term

• The slope

• The x-intercept

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

How do you find the slope between two points (x1, y1) and (x2, y2)?

• (x1 - x2) / (y1 - y2)

• (y1 - y2) / (x1 - x2)

• (x2 - x1) / (y2 - y1)

• (y2 - y1) / (x2 - x1)

Tags

CCSS.8.EE.B.5

If the slope is 2 and the y-intercept is 6, what is the equation in slope-intercept form?

• y = 2x + 6

• y = 6x + 2

• y = 2x - 6

• y = 6x - 2

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

What is the slope if y2 = 2, y1 = 6, x2 = 2, and x1 = 1?

• -4

• 4

• -2

• 2

Tags

CCSS.8.EE.B.5

If the slope is -4 and the y-intercept is 10, what is the equation in slope-intercept form?

• y = -4x + 10

• y = 10x - 4

• y = 4x - 10

• y = -10x + 4

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

How do you solve for the y-intercept if it is not given in the table?

• Use the average of the y-values

• Set up an equation using the slope and a point from the table

• Guess the value

• Use the x-intercept

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

What is the slope if y2 = 2, y1 = 0, x2 = 10, and x1 = 8?

• 10

• 0.5

• 2

• 1

Tags

CCSS.8.EE.B.5

If the slope is 1 and the y-intercept is -8, what is the equation in slope-intercept form?

• y = x + 8

• y = -x + 8

• y = -x - 8

• y = x - 8

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

What is the y-intercept if the slope is -1/3 and the point (3, -1) is on the line?

• 1

• -1

• 0

• 3