Graphical Representation: Determining the slope of a function with a point

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)

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

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?

$y=2$

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

Which equation corresponds to the line?

$y=2x+1$

Given the line parallel to the line $y=2x+5$

and passes through the point $(4,9)$.

Which of the algebraic representations is the corresponding one for the given 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 $y=3x+4$

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

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

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

Given the line parallel to the line $y=2x-5$

and passes through the point $(-3,-4)$.

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

$y=2x+2$

A line has a slope of $\frac{1}{2}$ and passes through the point $(5,17\frac{1}{2})$.

Which expression corresponds to the line?

$y=\frac{1}{2}x+15$

A line has a slope of $1\frac{1}{2}$ and passes through the point $(3,7\frac{1}{2})$.

Which expression corresponds to the line?

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

A straight line with a slope of 2y passes through the point $(7,11)$.

Which expression corresponds to the line?

$y=3x-3-x$

Given the line parallel to the line

$y=-\frac{3}{4}x+2$

and passes through the point $(8,2)$.

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

$$$y=-\frac{3}{4}x+8$