How do I find a point on the line whose equation is 3x-8y=54
1 answer:
An equation is formed of two equal expressions. A point that will lie on the line 3x-8y=54 is (5,-4.875).
<h3>What is an equation?</h3>An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
To find a point on the line 3x-8y=54, take any random value of x and substitute for the equation, and solve the equation for y. Now, as you have the value of x and y, you have the coordinate of the point.
Let the value of x be 5.
3x-8y=54
3(5)-8y =54
15-8y = 54
-8y = 54 - 15
-8y = 39
y = -4.875
Hence, a point that will lie on the line 3x-8y=54 is (5,-4.875).
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Answer:
<em>The coordinates of P are (1,0)</em>
Step-by-step explanation:
<u>Midpoint</u>
The midpoint (xm,ym) of a segment defined by points (x1,y1) and (x2,y2) is calculated as follows:
We need to find the coordinates of P which is equidistant from the endpoints A=(-2,1) and B=(4,-1).
Calculate the midpoint:
Thus, the coordinates of P are (1,0)
Note the midpoint does not lie on the y-axis but on the x-axis.
Answer:
The function is injective (one-to-one).
Step-by-step explanation:
The definition of an injective function follows.
Let be sets. Let
be a function. We say
is injective if, for all
,
implies
.
This is the proof that is injective.
Let and assume
. This means
. Subtracting
gives
, then dividing by
gives
. Thus
is injective.