Answer:
y=0.2x-20
Step-by-step explanation:
1) the common view of the line in the slope-intercept form is:
y=s*x+i, where s - the value of the slope (it is 0.2 according the condition), i - the value of intercept (to be calculated);
y=0.2*x+i.
2) if to substitute the given coordinates (1.25;-17.5) into the common view, then:
-17.5=1.25*0.2+i;
it is possible to calculate the value of 'i': i= -20.
3) if the slope=0.2, the intercept= -20, then the required equation of the line is:
y=0.2x-20.
Answer:
I think it would be 4×n-3 = n+12
Answer:
(x-3)^2 + (y+2)^2 = 9^2
Step-by-step explanation:
x^2 -6x+y^2+4y-68 = 0
Complete the square
x^2 -6x+y^2+4y-68+68 = 0+68
x^2 -6x+y^2+4y = 68
Find the term to add for x
-6 /2 = -3 -3^2 = 9
Find the term to add for y
4/2 =2 2^2 = 4
Add 9 and 4
x^2 -6x+9+y^2+4y+4 = 68+9+4
(x-3)^2 + (y+2)^2 = 81
(x-3)^2 + (y+2)^2 = 9^2
The standard form is
(x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius
Answer:
y=4/3+19/3
Step-by-step explanation:
When it asks for perpendicular it means your focusing on the slope.
Perpendicular means opposite of the current slope, so flip it and change the sign (-3/4 changes to 4/3). Next you will use the equation (y-y1)=m(x-x1)
y1=the y value given
x1=the x value given
m=your slope
(y-1)=4/3(x+4) Since the x point is minus a negative we get to change the sign to a positive. Next distribute the 4/3 to each term in the parenthesis.
y-1=4/3(x)+4/3(4)
y-1=4/3x+16/3 Now we add the one to both sides.
+1 +1 The one isn't in teh correct format to just add so first imagine it as 1/1. Now to get the bottom to have a 3 like in 16/3 we just multiply the top and bottom by 3.
Now we can add this to the 16/3
We can now put this back into our equation.
y=4/3+19/3
