(2,4),(0,5)

Question

Find the slopes of the lines containing these points

Answer 1

Hello, thank you for taking the time to post your question!

The equation that you want to use to compute slope here is

m = (y2 – y1) / (x2 – x1) … for this set of values that becomes

m = (5 - 4) / (0 – 2) = 1/ -2 = -1/2

I hope that helps you get moving in a better direction on this type of question! Feel free to reach out if you have any additional questions beyond that :)

Answer 2

Hi Ivette;

(2,4),(0,5)

Slope is change-of-y divided by change-of-x...

m=(y-y₁)/(x-x₁)

m=(4-5)/(2-0)

m=-1/2

Slope-intercept formula is...

y=mx+b

m is the slope

b is the y-intercept, the value of y when x=0.

The slope intercept is provided, (0,5)...

y=(-1/2)x+5

Answer 3

(change in y)/(change in x) = slope

(5-4)/(0-2) = 1/-2
Slope is -1/2

y= -1/2x + b

Put one of the coordinate sets in for x and y:

5= -1/2(0) + b
5= b

The equation for the line that passes through the points (2,4) and (0,5) is y= -1/2x + 5