What is the slope and the y-intercept of the line on the graph below? On a coordinate plane, a line goes through points (0, 1) a
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Answer:
.
Step-by-step explanation:
On a cartesian plane, the -intercept of a function is the point where the graph of that function intersects with the
-axis.
The -axis of a cartesian plane is the same as the equation
(that is, the collection of all points with an
-coordinate of
.)
Construct a system of two equations, with one equation representing -axis and
to represent the graph of this function:
.
Solve this system for and for
. If a solution exists, then the
-axis and the graph of
would indeed intersect. The point
would be the intersection of the
-axis and the graph of
.
Substitute the second equation of the system into the first.
.
Hence, the intersection of the -axis and the graph of
would be
. By definition, this point would be the
-intercept of
.