Algebra 20 - Slope-Intercept Form

The lecture introduces linear functions whose graphs pass through the origin, represented by the equation Y = MX, where M is the slope. It then discusses affine functions, which do not pass through the origin, and how adding a constant B shifts the graph vertically, affecting the Y intercept. The concept of translation is introduced, and the slope-intercept form Y = MX + B is explained, showing how M and B determine the line's orientation and position on the Cartesian plane.

What is the equation of a linear function that passes through the origin?

• Y = MX

• Y = MX + B

• Y = X + B

• Y = B

What happens to the graph of Y = MX when a constant B is added?

• It shifts horizontally by B units.

• It becomes a parabola.

• It rotates around the origin.

• It shifts vertically by B units.

If B is positive in the equation Y = MX + B, how does the graph shift?

• It shifts downwards.

• It shifts upwards.

• It remains unchanged.

• It shifts to the left.

What is the Y-intercept of the equation Y = MX + B?

• The point (0, 0)

• The point (M, B)

• The point (0, B)

• The point (B, 0)

What is the slope-intercept form of a line?

• Y = X + M

• Y = MX + B

• Y = B

• Y = MX

How can the orientation of a line be adjusted in the slope-intercept form?

• By changing the values of both M and B.

• By changing the value of M only.

• By changing the value of X.

• By changing the value of B only.

What does the constant M determine in the equation Y = MX + B?

• The vertical position of the line.

• The Y-intercept of the line.

• The horizontal position of the line.

• The slope of the line.