The distance between both lines is 2.24 units
Step-by-step explanation:
There is no straight method to find the distance between two lines. The distance can be found out by finding a point on one line and then finding the distance of that point from the other line. The y-coordinate of point is obtained by putting any value of x in equation . The x and y combined give us the point.
Given

We have to find the distance of this point from y=2x+5

The formula for finding distance of a point (x,y) from a line is:

A=2
B=-1
C=5
Putting the values in the formula

Rounding off will give: 2.24 units
The distance between both lines is 2.24 units
Keywords: Equations of lines
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The correct question is
<span>What is the equation of a line, in general form, that passes through point (1, -2) and has a slope of 1/3
</span>
we have that
point (1,-2)
slope m=1/3
so
y-y1=m*(x-x1)-----> y+2=(1/3)*(x-1)----> multiply by 3---> 3y+6=x-1
x-3y-1-6=0------> x-3y-7=0
the answer is
<span>x - 3y - 7 = 0</span>
No, it is not because, 2/4 is 1/2. 3/7 is clearly not one half. If it were 3.5/7, then they are equivalent.
C, I think
difference(subtract) between 7 times a number(7 multiplied by a unknown number) AND 5(other number to subtractoon is(= to) 51