Asap
choose the equation below that represents the line passing through the point (2, -4) with a slope of one half.
y = one half x + 5
y = one half x − 3
y = one half x − 5
y = one half x + 3

The equation that represents the line passing through the point (2, -4) with a slope of one half is

Step-by-step explanation:

The equation of a line can be described by a first order equation in the following format:

In which a is the slope of the line.

Solution:

The line slope is , so .

The equation of the line now is:

The problem states that the line passes through the point(2,-4). This means that when x = 2, f(x) = -4

So:

So, the equation that represents the line passing through the point (2, -4) with a slope of one half is

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