Exploring Slope-Intercept Form: y=mx+b

The video tutorial introduces the slope-intercept formula y = mx + b, explaining its components: the slope (m) and the Y-intercept (b). It details how to find the formula using given coordinates and slope, and demonstrates solving for unknowns. The tutorial emphasizes understanding the formula's application in plotting lines on a graph.

What does 'm' represent in the slope-intercept formula?

• The Y-intercept

• The slope of the line

• The X-intercept

• Any coordinate on the line

Why is 'b' used to represent the Y-intercept?

• Because it stands for 'base'

• It signifies 'bad to the bone'

• Because 'b' stands for 'beginning'

• It's an arbitrary choice

What does the Y-intercept indicate in a graph?

• Where the line crosses the X-axis

• The highest point of the line

• The slope of the line

• Where the line crosses the Y-axis

What is the correct formula to represent a line?

• y = mx + b

• x = my + b

• y = bx + m

• x = bm + y

What does the slope tell us about a line?

• Its direction and steepness

• Its length

• Its starting point

• Its ending point

How do you find the Y-intercept if you know the slope and a point on the line?

• Divide the X-coordinate by the Y-coordinate

• Plug in the known values into the slope-intercept formula and solve for 'b'

• Multiply the slope by the X-coordinate and add the Y-coordinate

• Subtract the slope from the Y-coordinate

What is the first step in finding the Y-intercept given a slope and a point?

• Divide the slope by the Y-coordinate

• Subtract the slope from the X-coordinate

• Multiply the slope with the X-coordinate

• Add the slope to the Y-coordinate

What do you do after plugging in the slope and coordinates into the formula?

• Multiply both sides by the Y-coordinate

• Divide both sides by the slope

• Isolate 'b' by performing arithmetic operations

• Nothing, you're done

How can you find an unknown X given the slope, Y-intercept, and a Y-coordinate?

• Add the slope to the Y-coordinate

• Use the slope-intercept formula and solve for 'x'

• Multiply the Y-intercept by the Y-coordinate

• Subtract the Y-intercept from the Y-coordinate

If the slope is 12 and the Y-intercept is 2, what is the slope-intercept form of the line?

• y = 12x + 2

• y = 2x + 12

• x = 12y + 2

• x = 2y + 12