Question

What is the equation of the line shown on the graph?

A. 5x-2y=10

B. 2x+5y=10

C. 2x-5y=10

D. 5x+2=10

Yes, I know that the image is blurry it’s very blurry for me too.

Answer 1

Let’s find the slope and y intercept
Slope: rate of change
Given points (0,5) and (2,0)
Slope: (y2-y1)/(x2-x1)
(0-5)/(2-0) = -5/2
Y intercept = (0,y) = (0,5)
Now into equation: y = mx + b
Y = -5/2x + 5
Get rid of fraction (multiply be 2)
2y = -5x + 10
Add 5x to both sides
2y + 5x = 10
Or 5x + 2y = 10

Solution: D. 5x + 2y = 10