Answer:
(-15, 0) --> x intercept
(0, 15) --> y intercept
Step-by-step explanation:
First, you need to find the equation of the line:
gradient equals 1 --> (6 - 11)/(-9 - (-4))
y = x + c
sub point (-9, 6)
6 = -9 + c
c = 6 + 9
c = 15
Equation of line: y = x + 15
x-intercept is when y = 0
0 = x + 15
x = -15 (that's the x-intercept)
(-15, 0)
y-intercept is when x = 0
y = 0 + 15
y = 15 (this is the y-intercept). The y-intercept is also the contant 'c'
(0, 15)
What you want to do is get the variable x on the left side by itself (just like you would if this were an equation). Be sure to perform the same operations on both sides of the inequality until x is all by itself on the left side.
Answer:
Step-by-step explanation:
The first two steps are for the purpose of eliminating fractions. Doing so results in 4(2x - 5) = 9(x - 2), which is to be solved for x.
Perform the indicated multiplication, obtaining:
8x - 20 = 9x - 18.
Then combine like terms: -2 = x, or
x = -2.
To complete the formal check, substitute -2 for x in the first equation. This results in:
(1/3)(-4 - 5) = (3/4)(-2 -2), or
-3 = -3
... which is obviously true.
