Hello :
let : A(0,3) B(4,8)
<span>the slope is : (YB - YA)/(XB -XA)
</span>(8-3)/(4-0) = 5/4
same method for 4
You would have to first distribute the -2 to the x+3 which gives you -2x-6. Then you would subtract the 4 which gives you -2x-10 on the left side. Now you have the equation -2x-10>4x+30. Move the 4x to the other side giving you -6x-10>30. Now add the 10 from the other side which leaves you with -6x>40. Now remember when you divide by a negative in an inequality, you HAVE TO flip the sign giving you the answer of x<-20/3.
X intercept is when y and z=0
yinter cept is when x and z =0
zintercept is when x and y =0
set to zero and solve
xint
-4x+6(0)-5(0)=60
-4x=60
divide -4
x=-15
xint is (-15,0,0)
ying
-4(0)+6y-5(0)=60
6y=60
divide by 6
y=10
yint is (0,10,0)
zint
-4(0)+6(0)-5z=60
-5z=60
divide by -5
z=-12
zint is (0,0,-12)
xint is (-15,0,0)
yint is (0,10,0)
zint is (0,0,-12)
Point-slope form is y - y1 = m(x - x1). We just need to plug in our stuff. This gives us y - 9 = 4(x - 3). I am not sure if you need to simplify, but if you do, y - 9 = 4x - 12.