Find the equation of the line given the slope and the y-intercept
1 answer:
Answer:
y =
Step-by-step explanation:
The equation for a linear graph is usually written in the following format...
y = mx + b
Where m would be the slope, usually referring to rise over run and b would be the y-intercept (where the line crosses the y-axis). From the graph, we can see that the line crosses the y-axis at point 3 so b would be 3. The graph also shows us that for every 1 value that the line rises it moves to the right 2 values. Therefore, the slope would be 1/2. Using these values we can create the following equation...
y =
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Answer:
Step-by-step explanation:
A linear pair are two given angles whose sum is equal to .
Let the exterior angle be represented by , and the three interior angles of the triangle be represented by
,
and
.
Assume that the vertex angle is the linear pair to the exterior angle
.
i.e +
=
(sum of angles on a straight line)
Thus,
i. +
=
(sum of two opposite interior angles is equal to an exterior angle)
⇒ =
-
Also,
=
-
But,
+
+
=
(sum of angles in a triangle)
⇒ =
- (
+
)
and
+
=
-
ii. +
+
=
(sum of angles in a triangle)
=
- (
+
)
Also,
+
=
⇒ =
-
=
-