Using Point-Slope Form to Write the Equation of a Line

This video tutorial covers writing equations in point slope form, starting with an introduction to the form and its relation to slope. It explains the derivation of point slope form from the slope formula and provides practice exercises for writing equations using given points and slopes. The tutorial also covers converting point slope form equations to slope intercept form and includes interactive exercises to reinforce learning.

What is the formula for point slope form?

• Y = X + B

• Y = MX + B

• Y - Y1 = M(X - X1)

• Y = M(X + X1)

If given a point (-3, 4) and a slope of -1/4, what is the equation in point slope form?

• Y - 4 = -1/4(X - 3)

• Y + 4 = -1/4(X - 3)

• Y - 4 = -1/4(X + 3)

• Y + 4 = -1/4(X + 3)

How do you find the slope when given two points?

• Multiply the Y coordinates and subtract the X coordinates

• Add the Y coordinates and divide by the X coordinates

• Divide the Y coordinates by the X coordinates

• Subtract the Y coordinates and divide by the difference of the X coordinates

What is the slope of a line passing through points (-4, 3) and (2, -5)?

• -1

• -2

• 2

• 1

In function notation, what does an input of X1 and an output of Y1 represent?

• A line equation

• A constant

• An ordered pair

• A slope

How do you convert point slope form to slope intercept form?

• Subtract the Y coordinate

• Multiply both sides by X

• Distribute the slope and simplify

• Add the slope to both sides

What is the slope intercept form of the equation Y + 1 = -1/2(X - 7)?

• Y = -1/2X - 7/2

• Y = 1/2X - 7/2

• Y = -1/2X + 7/2

• Y = 1/2X + 7/2

If a line passes through (-6, 1) with a slope of 2, what is the equation in point slope form?

• Y - 1 = 2(X - 6)

• Y + 1 = 2(X - 6)

• Y - 1 = 2(X + 6)

• Y + 1 = 2(X + 6)

What is the slope of a line with the equation Y + 5 = -2/3(X - 6)?

• -2/3

• 2/3

• -3/2

• 3/2

What is the equivalent slope intercept form of the equation Y - 5 = -4(X + 2)?

• Y = 4X - 3

• Y = -4X + 3

• Y = 4X + 3

• Y = -4X - 3