The equation of this line is D) y = 1/2x - 10
In order to find this, we need to first find the slope. The slope of the equation will match the line it is parallel to. Since the first line has a slope of 1/2 (the coefficient of x), we know our new line will too. Now that we have that information start with the basic form of point-slope form.
y - y1 = m(x - x1)
Now put the slope in for m and the point in for (x1, y1)
y + 5 = 1/2(x - 10)
Now solve the equation for y.
y + 5 = 1/2x - 5
y = 1/2x - 10
I may be right or wrong but try y=2x-25
If the two right lines is parallel than theirs coefficient of direction is equal.
The explicit form of the right line is y=kx+l , where k is coefficient of direction and l is intersection with y axis.
In our case k=12 and when we replace (x,y) = (10,-5) in equation we get
-5=12 * 10 + l => l=-125 and equation is y=12x-125
parallel lines have same slopes,
the sum of the lengths of any two sides of a triangle is greater than the length of the third side. if you take the three sides of a triangle and add them in pairs, the sum is greater than (not equal to) the third side. if that is not true, then it is not possible to construct a triangle with the given side lengths.