Find the equation of the line below?
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Answer:
y = 1/2x + 1/2
Step-by-step explanation:
first list a few points to find the slope
(1,1) (3, 2)
y2 - y1/x2 - x1
2 - 1/3 - 1
1/2
y = 1/2x + b
to find the slope use a point you didnt use yet (since its tricky to find the intercept looking at the graph)
(-1, 0)
0 = 1/2(-1) + b
0 = -1/2 + b
b = 1/ 2
lets check:
point: (-3, -1)
y = 1/2x + 1/2
-1 = 1/2(-3) + 1/2 ?
-1 = -3/2 + 1/2 ?
-1 = -1
Answer:
Slope intercept form;
y = mx + b
If we look at the graph, we can see the line intercepts with y axis at around 0.5, so 0.5 is our y - intercept.
If we look at the slope it rises 1/2
Though we can double check by using two points of the line:-
Δy y2 - y1
___= ______
Δx x2 - x1
One point of the line, (1,1)
Second point of the line, (3,2)
Plug it into the formula:
2 - 1 1
____ = ____, 1/2 is the slope
3 - 1 2
Now we use it in our equation;
y = 1/2x + 0.5