Given:
The given equation of line is

To find:
The equation of line that passes through (-5,4) and is parallel to the given line.
Solution:
Slope intercept form of a line is
...(i)
where, m is slope and b is y-intercept.
We have,
...(ii)
On comparing (i) and (ii), we get

Slope of given line is
.
Slope of parallel lines are same. So, slope of parallel line is
.
The required line passes through (-5,4) with slope
. So, the equation of line is




Adding 4 on both sides, we get



Therefore, the correct option is a.
6,250
1,000/4,000 = 25/100
25/100 = x/5,000
x = 1,250
5,000 + 1,250 = 6,250
The perimeter would be rational due to both the width and length being rational numbers. A rational number is a number that can be written as a fraction such as 8 it can be written as 8/1, but a irrational would be a decimal number which in this case there would be none because both length and width is rational number. For example, Lets say the width is 8 and the length is 10. once both are written into fraction form such as 8/1 and 10/1 we add them to get a perimeter of 18.
Hope this helps! <span />
Properties of Similar Triangles
Please refer to the figure attached.
<span>Corresponding angles are congruent (same measure) So in the figure above, the angle P=P', Q=Q', and R=R'.
<span>
Corresponding sides are all in the same proportion. Above, PQ is twice the length of P'Q'. Therefore, the other pairs of sides are also in that proportion.</span></span>