Which is the equation for the line that has a slope of 12 and passes through the point (3, 20)?
1 answer:
You might be interested in
Answer:
y = 1/2x -3
x=-2 ⇒ y = -4
x=-1 ⇒ y = -3.5
x=0 ⇒ y = -3
x=1 ⇒ y = -2.5
x=2 ⇒ y = -2
Step-by-step explanation:
Hi, to answer this question we have to isolate y:
x - 2y = 6
-2y =6-x
y = (6-x)/-2
y = -3+1/2x
y = 1/2x -3
Now, we have to create a table with the next values (see attachment)
x=-2 ⇒ y = 1/2x -3 = 1/2(-2)-3= -4
x=-1 ⇒ y = 1/2x -3 = 1/2(-1)-3= -3.5
x=0 ⇒ y = 1/2x -3 = 1/2(0)-3= -3
x=1 ⇒ y = 1/2x -3 = 1/2(1)-3= -2.5
x=2 ⇒ y = 1/2x -3 = 1/2(2)-3= -2
Feel free to ask for more if needed or if you did not understand something.
Pretend these are coordinates that you can use to find the slope of the line.
(10, 40) and (15, 60). Fit these into the slope formula to find the slope of the line you are looking for:
and the slope is 4. Now use one of the points and the slope of 4 to solve for b, the y-intercept:
40 = 4(10) + b so b = 0. The equation of the line then is y = 4x + 0 or just
y = 4x
(10, 40) and (15, 60). Fit these into the slope formula to find the slope of the line you are looking for:
40 = 4(10) + b so b = 0. The equation of the line then is y = 4x + 0 or just
y = 4x