Question

Write an equation in slope intercept form for the line that passes through (2,-2) and is parallel to y=-5/2x+5

Answer 1

$y=mx+b\\y=x-2$

Only y= x - 2 intercepts x-axis at 2 and y-axis at -2. Thus meaning that they intercept oppositely.

Find if both graphs are parallel, that means the equation must be false.

$x-2=-\frac{5}{2}x+5$

Multiply whole equation by 2 to get rid of the fractional 2.

$2x-(2)(2)=-\frac{5}{2}(2)(x)+5(2)\\ 2x-4=-5x+10\\2x-4+5x-10=0\\7x-14=0\\7x=14\\x=2$

Well, that doesn't seem to be parallel. This is called one solution answer. Both graphs intercept at (2,0). There are no linear graphs that intercept at (2,-2) except for y = x-2 so there are no graphs with (2,-2) that are parallel to the equation y = -5x/2+5