Find an equation of the line: through the point (2,-4) with a y-intercept oof -2 Answer quick please

y = -x-2

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b  where m is the slope and b is the y intercept

y = mx-2

Using the point (2, -4)

-4= m(2) -2

Add 2 to each side

-4+2 = 2m-2+2

-2 =2m

Divide by 2

-2/2 = 2m/2

-1 =m

y = -1x -2

y = -x-2

y=-x-2

Step-by-step explanation:

Since we know two points on the graph (2,-4) and (0,-2) we can find the slope because slope= change in y over change in x. By doing so, we can see that the slope is -1. We know that y=mx+b and m is slope and b is y-intercept so we have all the variables needed. y=-1x-2 or y=-x-2.

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1