Slope-intercept form: y=mx+b, with m being the slope and b being the y-intercept. First, plug in the given slope into the slope form:
y=2x+b
Now, given the coordinates (1,4), you can plug the coordinates into the equation for x and y respectively, to solve for b (the y-intercept).
4=2(1)+b
4=2+b
Subtract 2 from both sides.
2=b
The y-intercept is 2.
Now, plug that into the equation:
y=2x+2
The answer is y=2x+2.
I hope this helps :)
The distance between two cities is
75
k
m
s
.
Explanation:
As a road of
4
c
m
.
on road map indicates a road of length equal to
30
k
m
.
Each
c
m
.
on map indicates
30
4
=
7.5
k
m
s
.
Hence a distance of
10
c
m
.
between two cities on the map indicates
7.5
×
10
=
75
k
m
s
The formula for point slope form is (y-y1) = m(x - x1)
In this formula m will always be the slope. So, you can substitute 3 in for m
(y-y1) = 3(x-x1)
y1 is the y-coordinate and x1 is the x-coordinate. So, you can substitute them in and you will be done.
(y - 1) = 3(x - (-2))
But since it is minus a negative it changes to a positive so it would be:
(y -1) = 3(x + 2)
Hope this helps!
