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Question 1204058: https://ibb.co/7Sd66zd
Write the equation of the line in fully simplified slope-intercept
Found 3 solutions by MathLover1, josgarithmetic, math_tutor2020:
Answer by MathLover1(20850)   (Show Source):
Answer by josgarithmetic(39631)  (Show Source):
You can put this solution on YOUR website! Pick any two points from the line which are easily readable on the graph.
How about these two: (-5,2) and (5,6).
Slope  ; and actually you can easily also read the line's y-intercept, so to use slope-intercept form:  .
That's actually using three points. Two for the slope and one more because it is y-axis intercept. You COULD use JUST TWO POINTS and go direct from point-slope form.
Answer by math_tutor2020(3817) (Show Source):
You can put this solution on YOUR website!
Start at any point on the blue line.
It's best to start with a point that has x and y coordinates that are both integers.
I'll start at (-5,2)
The goal is to move from there to another integer point on this same blue line.
Let's say we go from (-5,2) to (0,4)
We could use the slope formula to compute the slope, as the other tutors have done.
Or we could follow the motion of "up 2, right 5"
rise = 2
run = 5
m = slope = rise/run = 2/5
In short, m = 2/5 is the slope.
This fraction cannot be reduced further.
The y intercept is b = 4 since this is where the blue line touches the vertical y axis.
Plug those values into y = mx+b to get the final answer y = (2/5)x+4
This would be the same as writing  or 
Side note: 2/5 = 0.4
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