Exploring Slope Intercept Form from Graphs

The video tutorial covers graphing concepts, focusing on determining the slope and y-intercept from graphs. It explains how to identify 'pretty points' for accurate calculations and demonstrates graphing equations using these values. The tutorial also addresses common misconceptions and provides examples to reinforce understanding.

What is the first step in determining the slope and y-intercept from a graph?

• Identify the x-intercept

• Find two 'pretty points'

• Draw a line through the origin

• Calculate the change in x

If a graph has a y-intercept at (0, 15) and another point at (1, 20), what is the slope?

• 20

• 15

• 5

• 10

In the second example, what is the y-intercept of the graph?

• (4, 0)

• (0, 4)

• (2, 0)

• (0, 2)

What is the slope of the line if the y-intercept is (0, 2) and the x-intercept is (4, 0)?

• -0.5

• 0.5

• -2

• 2

For the equation y = 3x, what is the y-intercept?

• 1

• 0

• 3

• -3

If the slope of a line is -5 and the y-intercept is 7, what is the equation of the line?

• y = -5x + 7

• y = 7x - 5

• y = 5x - 7

• y = -7x + 5

What is the slope of the line if the y-intercept is (0, 19) and another point is (2, 14)?

• -2.5

• 5

• 2.5

• -5

For the equation y = 4/5x - 7, where does the graph cross the y-axis?

• (0, -7)

• (-7, 0)

• (4/5, 0)

• (0, 4/5)

If a line has a positive slope, how does it move on the graph?

• Remains constant

• Increases from left to right

• Decreases from left to right

• Forms a horizontal line

Which student correctly identified a line with a y-intercept below zero and a positive slope?

• None of the above

• Liam

• Carissa

• Javier