When you're given a point and the slope of a line, it is often easiest to write its equation in
point-slope form.
This is

, where

is the ordered pair for the point you are given and m is the slope.
Here, you would write

. Then, you simplify to get to
slope-intercept form, which is

, where b is the y-intercept.
The correct answer is A.
(-2)(-24)
(-3)(-16)
(-4)(-12)
(-6)(-8)
-(-1)(-48)
1*48
2*24
3*16
4*12
6*8
Answer:

Step-by-step explanation:
Use the slope-intercept form to write the equation if the line of the graph given.
, where,
b = y-intercept, which is where the line cuts across the y-axis = 4.
m = slope = 
Substitute m = ⁴/3 and b = 4, into the slope-intercept formula to get the equation of the line:


He needs one more quart. That is half of a gallon.
Step-by-step explanation:
I'll do line A for you and you can use the formulas to solve lines B and C yourself, since its good for you to practice doing these questions yourself
a)
The gradient, m, is calculated using m = (y2-y1)/(x2-x1) where x1,x2,y1 and y2 can be any ordered pairs on the line. I'm going to use (4,0) and (7,3) as the 2 points.
m = (3-0)/(7-4) = 3/3 = 1
b)
The y-intercept is where the line intersects with the x-axis. In this case (0,-4)
c)
The equation of a linear line is y=mx+b (or c depending on which country you are from)
y = 1x-4
y=x-4
Now try the other 2 lines yourself!
If this answer has helped you, considered making this the brainliest answer!