The equation of line ab is y = 5x + 1. write an equation of a line parallel to line ab in slope-intercept form that contains point (4, 5).

y = 5x − 15
y = 5x + 15
y = 1 over 5x + 21 over 5
y = 1 over 5x − 29 over 5

For this case we have that by definition, the equation of a line of the slope-intersection form is given by:

Where:

m: It's the slope

b: It is the cut-off point with the y axis

On the other hand, we have that if two lines are parallel then their slopes are equal.

Given the line AB: the slope is

Therefore, a parallel line will have slope

Thus, the equation is of the form is:

We substitute pointand find "b":

Finally, a line parallel to line AB is:

you can first factor out the n to get n(1+5). we know that 1+5 is 6, so we just have 6n.

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have