Point-Slope Equations

Point-Slope Equations

Point-Slope Equations need 2 things....

• A point

• A slope

Multiple Choice

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

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

Multiple Choice

What two things do you NEED to write an equation in point-slope form?

• a slope and a y-intercept

• a slope and a x-intercept

• a slope and a point

• two points on the line

Multiple Choice

Write the equation of the line.

• y = -2/3x + 4
• y = 2/3x + 4
• y = 3/2x + 4
• y = -3/2x + 4

Multiple Choice

What is this formula?

 $y-y_1=m\left(x-x_1\right)$  

• point slope

• standard form

• slope

• slope-intercept

Multiple Choice

What is the point in the following equation?
y-4 = 1/5 ( x-3)

• (3,4)
• (1/5,0)
• (-3,-4)
• (4,3)

Multiple Choice

What is the point given in the following equation?
y-2= 3(x+1)

• (1,3)
• (-1,2)
• (1,-2)
• (-2,1)

Multiple Choice

For the equation
y + 1 = -3(x - 5),
the line contains the point (5, -1) and has a slope of?

• -1
• 1
• -3
• 5

We also learned how to transform Point-Slope equations into Slope Intercept form.

Multiple Choice

slope 6

point (1,8)

Remember set it up in point slope form and then solve for y.

• y = 6x + 2

• y = 6x - 2

• y = -3/8x + 2

• y = 3/8x + 2

Multiple Choice

If a line passes through (0,6) and has a slope of 2, what is the equation for the line?

• y = 2x

• y = 2x + 6

• y = 6x + 2

• y = 2x - 6

Multiple Choice

Write the equation in point-slope form of the line that passes through the given point and has the given slope.

(4, -7); m = -1/4

• y +7 = -1/4(x - 4)

• y - 4 = -1/4(x + 7)

• y+ 7 = 4(x - 4)

• y - 7 = -1/4(x - 4)

What if I'm given just 2 points?

• Use the slope formula to calculate the slope

•  $\frac{y_2-y_1}{x_2-x_1}$  

• Choose ONE of the points

• Substitute the values of your chosen point and the slope calculated into the Point-Slope form

Multiple Choice

What is the slope formula?

Multiple Choice

Calculate the slope between the 2 points (4, -4) and (2, 3).

• 1/-2

• -7/2

• -1/2

• 7/-2

Multiple Choice

Calculate the slope between the 2 points (-7, 5) and (5, 3).

• 2/12

• 2/2

• -2/12

• -2/2

Multiple Choice

What is the slope of the line that passes through the points (14, -8) and (7, -6)?

• 2/7

• -2/7

• -7/2

• 7/2

Multiple Choice

What is the slope of the line that passes through the points (4, 9) and (1, 6)?

• 1

• -3

• 3

• -1

We also learned how to transform Point-Slope equations into Slope Intercept form.

Multiple Choice

If a line passes through (0,8) and (2,6) what is the equation for the line?

• y = x + 8

• y = -x + 8

• y = 2x + 8

• y = 2x + 6

Multiple Choice

 (0, -5) and (4, 3)

• y=2x-5
• y=1/2x-5
• y=2x+5
• y=1/2x+5

Multiple Choice

What is the equation of the line that goes through the points (3,-1) and (2,-4)?

• y = 3x - 4
• y = -3x + 8
• y = 3x - 1
• y = 3x - 10