Answer:
Step-by-step explanation:
We want to find the equation of a line parallel to:
And passes through (-5, -5).
Recall that parallel lines must have the same slope.
Since the slope of our old line is 3/5, the slope of our new line must also be 3/5.
So, we know that the slope of our new line is 3/5 and it passes through (-5, -5).
Now, we can use the point-slope form given by:
We will let (-5, -5) be (x₁, y₁). m is the slope or 3/5. Hence:
Simplify:
Distribute:
Subtract 5 from both sides:
And we have our equation.
Let x = the larger number
Let y = the smaller number
x + y = 93
x - y = 19 Add the two equations together.
2x = 112 Divide both sides of the equation by 2.
x = 56
56 + y = 93 Subtract 56 from both sides of the equations.
y = 37
Our equation for this table could be an equation in slope-intercept form:
y=mx+b
m=slope of the line:
b=y-intercept.
1) we have to calculate the slope of this line.
We need two points, you can choose two points of this table, for example:
the points (4,6) and (10,15)
m=(y-y₀)/(x-x₀)
m=(15-6)/(10-4)
m=9/6
m=3/2
2) we have to find "b";
We have this equation:
y=3/2 x +b
Now, we choose any point of this table; For example (8,12), now we find "b",
y=3/2 x+b
12=3/2 (8)+b
12=12+b
b=12-12
b=0
Therefore: the equation would be y=3/2 x
More easy:
if y vary directly with x, then: y=(y₂-y₁)/(x₂-x₁) x
You choose any two points of this table:
(8,12)
(10,15)
y=(15-12)/(10-8) x
y=3/2 x
Answer: y=3/2 x
The second one because domain refers to x, and since at (-3,-4) the point is hollow, the sign should be < without the line under it
Answer:
-2
Step-by-step explanation:
slope formula= (y2-y1)/(x2-x1)
(-1,-7) is (x1,y1)
(-2,-5) is (x2,y2)
Plug in numbers into slope equation
((-5)-(-7))/((-2)-(-1)) = 2/-1
Simplify
answer= -2
