Look at the picture the answer is there
Answer:
y = x - 8
Step-by-step explanation:
The equation of the straight line which is perpendicular to the straight line y = -x -3, will be y = x + c' ....... (1), where c' is a constant.
{This is because the product of the slopes of two mutually perpendicular straight line is -1}
Now, (3,-5) point satisfies equation (1).
Hence, -5 = 3 +c', ⇒c' = -8.
Therefore, the equation of the required straight line in slope-intercept form is y = x - 8 (Answer)
{Note: The slope-intercept form of a straight line is y = mx + c, where m is the slope of the line i.e. tanФ, and c is the length of y-axis intercept.}
The correct answer would be C
Answer: y<2
Step-by-step explanation:
Since we can say a functions could be added to the system without changing the solution set if after including it to the system the feasible region of entire system is not affected.
Here, the solution to the system of inequalities is,
y≤ 0.5x+2
y>3x-3
Since after ploting these two enequslties in the graph we get our feasible region.
When we include y > 2 in the system there is no solution of the system.
Therefore it affects the system.
Now when we include y < 2 in the system the solution or feasible region remain same.
Therefore it does not affect the system.
When we include y > 3 in the system there is no solution of the system.
Therefore it affects the system.
When we include line y=3 in the system then the system has no solution.
Therefore, it affects the system.
Thus, second Option is correct.
First let us find the slope:
Points (x , y) = (-2 , 1) and (5 , 8)
Slope m = (y₂ - y₁)/(x₂ - x₁) = (8 - 1) / (5 - -2) = 7/(5 + 2) = 7/7 = 1
Slope m = 1.
Equation of a line by point slope form y - y₁ = m(x - x₁)
Using the point (5, 8) x₁ = 5, y₁ = 8, m = 1
y - y₁ = m(x - x₁)
y - 8 = 1(x - 5)
y - 8 = 1*(x - 5) Point slope form of equation
But let's just simplify further
y = x - 5 +8
y = x + 3
<span>Equation is also y = x + 3
</span>Hope this helps.