Understanding Slope-Intercept Form

The video tutorial explains how to graph linear equations in slope-intercept form, y = mx + b. It demonstrates how the values of 'm' (slope) and 'b' (y-intercept) affect the graph's appearance. By varying 'b', the graph's y-intercept changes, while varying 'm' alters the slope's steepness. The tutorial provides examples of graphing lines, emphasizing the importance of identifying 'm' and 'b' to plot the y-intercept and use the slope to find additional points. The video concludes with a demonstration of verifying graphs using a graphing calculator.

What happens to the graph of the line when the y-intercept (b) is increased?

• The line becomes less steep.

• The line shifts upwards.

• The line becomes steeper.

• The line shifts downwards.

If the slope (m) of a line is increased, what is the effect on the line's appearance?

• The line shifts to the right.

• The line becomes steeper.

• The line becomes less steep.

• The line shifts to the left.

What is the y-intercept of the line y = 2x + 3?

• 3

• 0

• -3

• 2

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

• The y-intercept

• The origin

• The x-intercept

• The slope

How do you graph a line with a slope of -1 and a y-intercept of 3?

• Plot (0,3) and move up 1, right 1

• Plot (0,3) and move down 1, left 1

• Plot (0,3) and move down 1, right 1

• Plot (0,3) and move up 1, left 1

What is the slope of the line y = -x + 3?

• -3

• 1

• -1

• 3

When graphing y = 2/3x - 4, what is the first step?

• Plot the point (0, 2)

• Plot the point (0, -4)

• Move up 2, right 3

• Move down 2, left 3

How can you verify the accuracy of a graphed line using a calculator?

• Check the x-intercept

• Ensure the line passes through the origin

• Check the slope value

• Verify plotted points match the equation

What should you remember when entering a slope in fraction form into a calculator?

• Multiply by the x-value

• Use a decimal instead

• Include it in parentheses

• Subtract the y-intercept

Which point is verified on the line y = 2/3x - 4 using a calculator?

• (3, -2)

• (0, 3)

• (3, 0)

• (0, -4)