Writing Equations in Slope-Intercept Form

The video tutorial covers writing equations of lines in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept. It explains how to derive equations using given slopes and intercepts, graphs, and two points. The tutorial also demonstrates converting standard form equations to slope-intercept form and emphasizes the importance of understanding these concepts for graphing. Practice exercises are provided to reinforce learning.

What is the slope-intercept form of a line with a slope of -4 and a y-intercept of 9?

• y = -9x + 4

• y = 9x - 4

• y = 4x - 9

• y = -4x + 9

If a line rises 1 unit and runs 2 units, what is its slope?

• 2

• 1

• 1/2

• 2/1

How do you find the slope of a line passing through points (0, -2) and (4, 7)?

• Add y-coordinates and divide by x-coordinates

• Subtract y-coordinates and divide by x-coordinates

• Subtract x-coordinates and divide by y-coordinates

• Add x-coordinates and divide by y-coordinates

What is the slope of a line with points (3, 8) and (0, -2)?

• 10/3

• -10/3

• 3/10

• -3/10

How do you convert an equation from standard form to slope-intercept form?

• Multiply both sides by the slope

• Add the slope to both sides

• Isolate y on one side

• Isolate x on one side

What is the y-intercept of a line with the equation y = 5/2x + 6?

• 0

• 6

• -6

• 5/2

If a line has a slope of 7/3, what is the rise and run?

• Rise 1, run 3

• Rise 7, run 3

• Rise 3, run 7

• Rise 7, run 1

What is the slope-intercept form of a line with a slope of 4 and y-intercept of -1?

• y = 4x - 1

• y = -4x + 1

• y = 1x - 4

• y = -1x + 4

How do you find the y-intercept if neither point has an x-coordinate of 0?

• Guess the y-intercept

• Use one of the points to solve for the y-intercept

• Graph the line to find the y-intercept

• Use the slope to find the y-intercept

What is the slope of a line that rises 3 units and runs -2 units?

• -3/2

• -2/3

• 2/3

• 3/2