Answer:
y=5/3x+7/3
Explanation:
Here are the points: (1,4) and (-2, -1)
let's first find the slope, which is with the equation m=(y2-y1)/(x2-x1) (m is the slope)
label the points:
x1=1
y1=4
x2=-2
y2=-1
now subsitute into the equation
m=(-1-4)/(-2-1)
m=-5/-3
m=5/3
the slope of the line 5/3
Here's the equation so far:
y=5/3x+b (b is a place holder)
we can substitute either one of the points into the equation so far to find b, because the line will pass through both of them>
let's use (1,4) as an example
4=5/3(1)+b
4=5/3+b
subtract 5/3 from both sides
7/3=b
Now, put it all together:
y=5/3x+7/3
Hope this helps!