Write equations of the horizontal and vertical lines that pass through the given point.
12. (-3,-4)
Horizontal line
vertical line

Horizontal line ⇒ y = -4

Vertical line ⇒ x = -3

Step-by-step explanation:

∵ A horizontal line passes through the point (-3, -4)

→ That means the y-coordinates of all points on the line have

   the same value

∴ The equation of the line is y = -4

∵ A vertical line passes through the point (-3, -4)

→ That means the x-coordinates of all points on the line have

   the same value

∴ The equation of the line is x = -3

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