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Answer:
Step-by-step explanation:
1) First, find the slope of the equation. Use the slope formula . Substitute the x and y values of the given points into the formula and solve:
Thus, the slope is .
2) Now, use the point-slope formula to write the equation in point-slope form (from there we can convert it to slope-intercept). Substitute values for
,
, and
.
Since represents the slope, substitute
for it. Since
and
represent the x and y values of one point the line intersects, choose any of the given points (it doesn't matter which one, the end result will be the same) and substitute its x and y values into the formula as well. (I chose (4,1), as seen below.) Then, isolate y to put the equation in slope-intercept form and find the answer.
Answer:
<em>(7, 5.25)</em> lies on the graph.
Step-by-step explanation:
We are given the following values
x = 4, 6, 8, 12 and corresponding y values are:
y = 3, 4.5, 6, 9
Let us consider two points (4, 6) and (6, 4.5) and try to find out the equation of line.
Equation of a line passing through two points and
is given as:
where m is the slope.
(x,y) are the coordinates from where the line passes.
c is the y intercept.
Here,
Formula for slope is:
Now, the equation of line becomes:
Putting the point (4,3) in the above equation to find <em>c</em>:
So, final equation of given function is:
OR
As per the given options, the point <em>(7, 5.25) </em>satisfies the equation.
So correct answer is .