Writing Linear Equations

Writing Linear Equations

Grade 8 Mathematics

Open Ended

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​Writing Linear Equations

Multiple Choice

What is the set - up for writing the equation of the line that pass thru (2,1) and (5,-4)?

$$y-y_1=\left(\frac{y_2-y_1}{x_2-x_1}\right)\left(x-x_1\right)$$  

• $$y-\left(1\right)=\left(\frac{-4-\left(1\right)}{5-\left(2\right)}\right)\left(x-\left(2\right)\right)$$  

• $$y+1=\left(\frac{-4+1}{5+2}\right)\left(x+2\right)$$  

• $$y-\left(1\right)=\left(\frac{5-\left(2\right)}{-4-\left(1\right)}\right)\left(x-\left(2\right)\right)$$  

• $$y+2=\left(\frac{5+2}{-4+1}\right)\left(x+1\right)$$  

​Set - up (2, 1) and (5, -4)

​Let's Watch

​Two - Point Form

Multiple Choice

Set - up the equation of the line using (2,3) and (3,2)

$$y-y_1=\left(\frac{y_2-y_1}{x_2-x_1}\right)\left(x-x_1\right)$$  

• $$y-\left(3\right)=\left(\frac{2-\left(3\right)}{3-\left(2\right)}\right)\left(x-\left(2\right)\right)$$  

• $$y-\left(2\right)=\left(\frac{2-\left(3\right)}{3-\left(2\right)}\right)\left(x-\left(3\right)\right)$$  

• $$y+3=\left(\frac{2-\left(3\right)}{3-\left(2\right)}\right)\left(x+2\right)$$  

• $$y+2=\left(\frac{2-\left(3\right)}{3-\left(2\right)}\right)\left(x+3\right)$$  

​Set - up the equation of the line using (2,3) and (3,2)

Multiple Choice

Solve for equation of the line using (2,3) and (3,2).

y - form

The set - up is $$y-\left(3\right)=\left(\frac{2-\left(3\right)}{3-\left(2\right)}\right)\left(x-\left(2\right)\right)$$  

• y = - x + 5

• y = -x - 5

• y = x + 5

• y = x - 5

​Solve for the equation using (2,3) and (3,2)

Multiple Choice

Write the equation of the line (y - form) that passes thru (1,-5) and (-2,-4)

$$y-y_1=\left(\frac{y_2-y_1}{x_2-x_1}\right)\left(x-x_1\right)$$  

• $$y=\frac{-x}{3}+\frac{16}{3}$$  

• $$y=\frac{x}{3}-\frac{16}{3}$$  

• $$y=\frac{-x}{3}-\frac{16}{3}$$  

• $$y=\frac{x}{3}+\frac{16}{3}$$  

​Write the equation of the line (y - form) that passes thru (1,-5) and (-2,-4)

​Any questions????

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