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Answer:
y = 3x
Step-by-step explanation:
Let's select two points from the given graph.
(1,3) (3,9)
Now, let's use slope formula to find the slope.
m = y2-y1/x2-x1
= 9-3/3-1
= 6/2
= 3
Let's substitute/plug this value into the slope-intercept form.
y = 3x + b
We can see that the y-intercept is 0, from the graph.
b = 0
Therefore,
y = 3x
Answer:
The equation of line is shown below.
Step-by-step explanation:
The equation of line is

It is the point slope form of a line, therefore the slope of the line is
and the line passing through (4,-1).
Rewrite the above equation in slope intercept form.



The point slope form of a line is

Where m is the slope and b is y-intercept.
Therefore the slope of the line is
and the y-intercept of the line is
.
Slope is defined as

Since the slope is negative, therefore the run of the line is considered on the left side. The line rise by 3 and run by 5, therefore we will add 7 in y and subtract 5 from x.
The y-intercept is
.

Therefore we have three points (4,-1), (-5,4.4) and (0,1.4). Plot the point on the coordinate plane and connect them be a straight line.