if it is solution point (4, –2) must satisfy both equations
(1) –3x – 2y = –8-->-3*4-2*(-2)=-8
-12+4=-8 then-->-8=-8 ok
(2) y = 2x – 5
-2=2*4-5=3---------->-2 is not 3
the point (4, –2) is not solution of the system of equations
Answer:
The answer is explained below
Step-by-step explanation:
The question is not complete we need point P and point Q.
let us assume P is at (3,1) and Q is at (-2,4)
To find the coordinate of the point that divides a line segment PQ with point P at 
and point Q at 
in the proportion a:b, we use the formula:
line segment PQ is divided in the ratio 5:3 let us assume P is at (3,1) and Q is at (-2,4). Therefore:
The answer to this problem is 7
The slope of the linear function shown is of -1/3.
<h3>What is a linear function?</h3>
A linear function, in slope-intercept formula, is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
Given two points of a line, the slope is given by <u>change in y divided by change in x</u>.
In this problem, the line goes through points (-3,0) and (0,-1), hence the slope is given by:
m = (0 - (-1))/(-3 - 0) = 1/-3 = -1/3.
More can be learned about linear functions at
brainly.com/question/24808124
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