Graphical Representation - Examples, Exercises and Solutions

Which statement is true according to the graph below?

If we plot all the points, we'll notice that point $(3,5)$ is the correct one, because:

$x=3,y=5$

And they intersect exactly on the line where the graph passes.

The graph passes through $(3,5)$.

At which point does the graph of the first function (I) intersect the graph of the second function (II)?

Let's pay attention to the point where the lines intersect. We'll mark it.

We'll find that:

$X=4,Y=2$

Therefore, the point is:

$(4,2)$

$(4,2)$

At what point does the graph intersect the x axis?

Note that the line intersects only the Y-axis. In other words, it does not touch the X-axis at all.

Therefore, the answer is D.

Does not cut the axis x

A straight line has a slope of 6y and passes through the points $(6,41)$.

Which function corresponds to the line described?

To solve the exercise, we will start by inserting the available data into the equation of the line:
y = mx + b
41 = 6*6 + b
41 = 36 +b
41-36 = b
5 = b
 
Now we have the data for the equation of the straight line:
 
y = 6x + 5
But it still does not match any of the given options.

Keep in mind that a common factor can be excluded:
y = 2(3x + 2.5)

$y=2(3x+2\frac{1}{2})$

Does the first graph of the function pass through the origin of the axes?

No, it passes through $(3,1)$

At what point does the graph intersect the yaxis?

$(0,2)$

Which expression describes a linear function?

$y=4x+1$

Which expressions represent linear functions and parallel lines?

_$y=2(x+1)$

_$y=3+2x$

What representations describe a linear function?

Answers A + C are correct

Which of the following describes linear functions and parallel lines?

_^$y=-4(x+1)$

_{^{$y=8x-12(x+1)$}}

Which of the following represent linear functions and parallel lines?

_{$y=\frac{1}{2}x+10$}

_{$y=\frac{1}{2}(x+2)$}

A straight line with a slope of 2y passes through the point $(3,7)$.

Which equation corresponds to the line?

$y=2x+1$

A straight line with the slope 9y passes through the point $(-5,-8)$.

Which of the following equations corresponds to the line?

$y=9x+37$

Given the line parallel to the line $y=4$

and passes through the point $(1,2)$.

Which of the algebraic representations is the corresponding one for the given line?

$y=2$

Given the line parallel to the line $y=3x+4$

and passes through the point $(\frac{1}{2},1)$.

Which of the algebraic representations is the corresponding one for the given line?

$y=3x-\frac{1}{2}$