Determine whether the point 1,5 is a solution to the system of inequalities below y>3x , y>/2x+1
<span>(a) 5(3m+2) = 15m + 10
(b) 6(g+h) = 6g + 6h
(c) 4d+8 = 4(d + 2)
(d) 21p+35q = 7(3p + 5q)
(e) 18x+9y = 9(2x + y)</span>
Step-by-step explanation:
the slope of a line is always the factor of x.
here : 1/2
it is the ratio y/x indicating how many units y changes, when x changes a certain angina amount of units when going from one point to another.
a perpendicular slope puts x and y upside-down and flips the sign.
here : -2/1 = -2
so, the equation looks like
y = -2x + b
b is the y-intercept, and we get this by putting the x and y coordinates of the given point into this equation and solve for b :
-1 = -2×-2 + b
-1 = 4 + b
b = -5
the full equation is therefore
y = -2x - 5
3(x+3)-2x
Distribute the 3
3x+9-2x
Combine like terms
x+9
Set equal to zero if you need to do this part
x+9=0
Get x by itself
x=-9
