Answer:
Step-by-step explanation:
The form of equation of line given in the problem is the point-slope form of a line. That is given by:
We need 
and m (denoted by boxes)
is the y coordinate of the first set of points.
The first coordinate pair is (9,7), so would be 7
Now, the slope (m).
It has formula
So, x_1 = 9
y_1 = 7
x_2 = 4
y_2 = -8
Substituting, we get the slope to be:
Hence, the equation of the line in point-slope is:
Explanation:
Step 1) Add
4
to each side of the equation to isolate the
x
term while keeping the equation balanced:
12
x
−
4
+
4
=
32
+
4
12
x
−
0
=
36
12
x
=
36
Step 2) Divide each side of the equation by
12
to solve for
x
while keeping the equation balanced:
12
x
12
=
36
12
12
x
12
=
3
x
=
3
Answer:
Step-by-step explanation:
Notice that the y-component is the same, -2, in these two points. That means y does not change as x changes, and therefore we conclude that the slope of the line connecting the two points is m = rise / run = 0.
-2 - (-2)
Alternatively, use m = -------------- = 0
3 - 13
The value of the slope in question is zero: m = 0
