Point Slope to Slope Intercept

Point Slope to Slope Intercept

10/2/30

Multiple Choice

Slopes of parallel lines are...

• opposite reciprocals.
• opposites.
• the same.
• always 7.

Multiple Choice

Slopes of perpendicular lines are...

• opposite reciprocals.

• opposites.

• identical.

• always 7.

Drag and Drop

y = 5x -2

(3,1)

m = ​

Placeholder

x₁ = ​

Placeholder

y₁ = ​

Placeholder

Drag these tiles and drop them in the correct blank above

5

3

1

2

-2

x

5x

Dropdown

When x₁ or y₁ are positive, you will use/see a ​

Select answer

sign.

When x₁ or y₁ are negative, you will use/see an ​

Select answer

sign.

Drag and Drop

When finding the perpendicular slope you have to ​

Placeholder

the fraction and ​

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the sign.

Drag these tiles and drop them in the correct blank above

flip

change

add

subtract

leave it alone

delete

Converting to Slope intercept

The only thing we have to do is ADD or SUBTRACT the value we have for y₁

Then we USE DESMOS and MATCH THE GRAPHS

Multiple Choice

What equation is the same as $$y-2=3\left(x+1\right)$$

• y = 3x - 1
• y = 3x + 5
• y = 2x + 4
• y = 4x + 2

Multiple Choice

What equation is the same as $$y+5=-3\left(x-2\right)$$

• y = -3x - 1
• y = 3x + 5
• y = 5x - 10
• y = -3x + 1

Multiple Choice

What equation is equal to $$y+7=2\left(x-8\right)$$

• y = 2x - 23
• y = 3x - 15
• y = -2x + 7
• y = 2x + 1

Multiple Select

Which equations are parallel to the line y=5x-3?

Select 2 correct answers.

• y=5x+7

• $$y=\frac{1}{5}x+1$$

• y=-5x

• y-6=5(x+1)

Multiple Choice

Given y=3x+8 write a new equation for the line that is PARALLEL and goes through the point (-4,6)

• y=3x+18

• y=-3x+18

• $$y=-\frac{1}{3}x+18$$

• $$y=\frac{1}{3}x+18$$

Multiple Choice

Write the equation of a line PERPENDICULAR to y = -2x + 1 that passes through the point (2, 3).

• $$y=-\frac{1}{2}x+\frac{1}{2}$$

• $$y=\frac{1}{2}x+2$$

• $$y=-2x+7$$

• $$y=-2x+8$$

Multiple Choice

Write the equation of a line PERPENDICULAR to $$y=\frac{1}{3}x-9$$  that passes through the point (-6, 10).

• $$y=\frac{1}{3}x-9$$

• $$y=\frac{1}{3}x+10$$

• $$y=-3x+6$$

• $$y=-3x-8$$

Multiple Choice

Which equation best represents the point-slope form of the line that passes through point W and is parallel to line p?

• $$y-5=-\frac{4}{5}\left(x-1\right)$$

• $$y-5=\frac{4}{5}\left(x-1\right)$$

• $$y-5=-\frac{5}{4}\left(x-1\right)$$

• $$y-5=\frac{5}{4}\left(x-1\right)$$

Multiple Choice

Which equation best represents the slope-intercept form of the line that passes through point P and is parallel to line m?

• $$y=\frac{3}{2}x-5$$

• $$y=-\frac{2}{3}x+\frac{2}{3}$$

• $$y=\frac{3}{2}x+5$$

• $$y=-\frac{2}{3}x-\frac{2}{3}$$