Find the equation of a line that is parallel to y = 5x + 1 and passes through the point (3, -4). Give your answer in the form y = mx + b.

Given:

The equation of a line is:

A line is parallel to the given line and passes through the point (3,-4).

To find:

The equation of the line in the slope intercept form.

Solution:

The slope intercept form of a line is:

            ...(i)

Where, m is the slope and b is the y-intercept of the line.

We have,

               ...(ii)

On comparing (i) and (ii), we get

Slope of the given line is 5.

We know that the slopes of parallel lines are equal. So, the slope of the required line is 5.

The required line passes through the point (3,-4) with slope 5. So, the equation of the required line is:

Subtracting 4 from both sides, we get

Therefore, the equation of the required line is .

angle addition postulate

2x=56

step-by-step explanation:

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