What is the equation of the line that passes through the point (-4,6)(−4,6) and has a slope of -\frac{5}{4}−

5x + 4y - 4 = 0 is the given line equation.

Step-by-step explanation:

The slope m of the line is given as

The point  of the equation is (x0, y0) = (-4, 6)

Now, by POINT SLOPE formula of a  line:

Equation of  a line is :   ( y -y0) = m (x - x0)

Hence, the equation is

On further simplifying ,

⇒ 5x + 4y - 24 + 20 = 0

or, 5x + 4y - 4 = 0 is the given line equation.

check above link.

graphically?   well, you graph them both, the solutions is where they both intersect each other, since there are two solutions, meaning they will meet twice, or namely the linear will run into the quadratic curve twice, and where they meet, those x,y coordinates are the solutions to the system.