The equation in the slope-intercept form is:
y = (1/2)*x + 3
<h3>How to write the equation?</h3>
A general linear equation is:
y = a*x + b
Where a is the slope and b is the y-intercept.
To get the slope, we need two points on the line, by using the graph we can identify the points: (0, 3) and (2,4)
Then the slope is:
And we also can see that the y-intercept is y = 3, because of the point (0,3)
Then the line is:
y = (1/2)*x + 3
If you want to learn more about lines you can read:
#SPJ1
Answer:
see below
Step-by-step explanation:
1.
a)
the relation is
b)
we can use it because for every value of x there is just one value, as the definition of function states
c)
and
2.
the points are
(-2,2) with
(1,-3) with
so the change in y is
and the change in x is
so the slope is
and the general formula is
so with a=-5/3
we plug in point 1
so the formula is
expressed as a function is
3.
this is bassically all the work of number 2, so we have
(-2,-5)
(4,31)
so the slope will be
the change in y
the change in x
so the slope will be
(the triangle means change)
so the formula we have
we plug some point, let's say 1
so the formula is
as a function is
so there you have it
Just as a note, for the next one, put more points :)