Question

Find the equation of the line that cuts through (0, 5) and (1, 2)?

Answer 1

Hope this helps! Remember, you set up an eqaution by using y2-y1/x2-x1. 

Answer 2

The equation of the line that cuts through (0, 5) and (1, 2) is $\bold{y=-3x+5}$

What is the two-point form of equation of line?

"The equation of the line passing through points two points $(x_1,y_1),(x_2,y_2)$ is $\frac{y-y_1}{y_2-y_1}=\frac{x-x_1}{x_2-x_1}$"

For given question,

The line cuts though (0, 5) and (1, 2)

Let $(x_1,y_1)=(0, 5),(x_2,y_2)=(1,2)$

Using two-point form of equation of line,

$\Rightarrow \frac{y-y_1}{y_2-y_1}=\frac{x-x_1}{x_2-x_1} \\\\\Rightarrow \frac{y-5}{2-5}=\frac{x-0}{1-0} \\\\\Rightarrow \frac{y-5}{-3} =\frac{x}{1} \\\\\Rightarrow y-5=-3\times x\\\\\Rightarrow \bold{y=-3x+5}$

Therefore, the equation of the line that cuts through (0, 5) and (1, 2) is $\bold{y=-3x+5}$

Learn more about equation of line here:

https://brainly.com/question/2564656

#SPJ3