Point Slope Form part 2

Point Slope Form

part 1

Multiple Choice

Which of these represents point-slope form of a linear equation?

• y - y₁ = m(x - x₁)
• Ax + By = C
• y = mx + b

What does each variable mean?

> x₁ and y₁ are given points from the problem

> m is the slope that is also given in the equation (or be found by two points)

> x and y are unknown points on the line.

Point Slope Form: point (-1, -7) and has a slope of -5

• Step 1-write the point slope formula

• Step 2- identify your x₁ and y₁ from the given problem

• Step 3- Idendify the slope (m)

• Step 4-Substitute the variables for the values

• Step 5- Simplify

Multiple Choice

Write the equation of the line in Point-Slope form that goes through the point (10,5) and has a slope of -3

• y - 5 = -3(x - 10)
• y= -3x + 35
• y + 5= -3(x + 10)
• y= -3x - 35

Multiple Choice

Write the equation in point-slope form of the line that passes through the given point and has the given slope:
 (-2, -1); m= -3

• y + 1 = -3(x - 2)
• y + 1 = -3(x + 2)
• y - 1 = 3(x - 1)
• y + 2 = -3(x + 1)

Multiple Choice

What is the equation in Point-Slope form

of the line that goes through

the point (6,1) and has a slope of -3?

• y - 6 = -3(x - 1)

• y + 6 = -3(x + 1)

• y - 1 = -3(x - 6)

• y + 1 = -3(x + 3)

Remember...

• the ordered pair is identified as (x₁, y₁₎

• When substituting your variable for values....transfer the negative if their is one.

• Subtracting a negative is just adding