Answer:First inequality: y >
Second inequality: y < 3 + x
Explanation:The inequality in slope-intercept form has the following general formula:
y < mx + c or y > mx + c (according to the given sign)
where m is the slope and c is the y-intercept
This means that to get any inequality in slope-intercept form, we will have to isolate the y on one side of the inequality.
First given inequality:4x - 5y < 1
4x - 5y + 5y < 1 + 5y
1 + 5y > 4x
1 + 5y - 1 > 4x - 1
5y > 4x - 1
y >
comparing this to the general form, we would find that:
slope (m) = 4/5
y-intercept (c) = 1/5
Second given inequality:y - x < 3
y - x + x < 3 + x
y < 3 + x
comparing this to the general form, we would find that:
slope (m) = 1
y-intercept (c) = 3
Hope this helps :)
The axis of symmety is the x value of the vertex
to find the x value of the vertex of ax^2+bx+c=0
x value=-b/2a
3x^2+bx+4=0
3/2=vertex
-b/2(3)=3/2
-b/6=3/2
times 6
-b=18/2
-b=9
times -1
b=-9
Answer:
x=-1/2
Step-by-step explanation:
Move -2x to the other side by adding 2x on both sides:
12x+8=2
Move 8 to the other side by subtracting 8 on both sides:
12x=-6
Divide by 12 on both sides:
x=-1/2
Hope this helps!
Just use the formula:
Then, plug in numbers:
And that would be your answer: 3/5 is the slope.