Answer:
Step-by-step explanation:
We will use the point slope formula: 
We will start by finding the slope(
).
The formula for slope is
So if we just choose 2 random points on the line:
I choose (0,2) and (4,1), we get:
That's our slope.
Next we need to find the y-intercept(
). We can find that by looking at the graph. It is where x=0. So in this case y=2 when x=0.
So in point-slope form the equation is:
Distribute 3/8 to m and 1 so now the equation should be 1/4m + 3/4m - 3/8m + 3/8
then add 1/4m 3/4 to get m. the equation should now look like m - 3/8m + 3/8
m is 1m but the one is invisible so subtract 3/8 from 1 now the equation should look like 5/8m + 3/8
final answer: 5/8 + 3/8
Answer:
the desired equation is
y = (1/2)x - 21/2
Step-by-step explanation:
Looks as tho' you may have typed in an extra 'y' here. I will proceed under the assumption that you meant y = (1/2)x - 4. This line has a slope of 1/2.
Any line parallel to it also has a slope of m = 1/2.
Start by replacing y, x, m and b in y = mx + b with the knowns:
y = mx + b becomes -6 = (1/2)(9) + b.
Clear this of fractions by multiplying all 3 terms by 2:
-12 = 9 + 2b, or:
-21 = 2b. Dividing both sides by 2 results in b = -21/2.
Thus, the desired equation is
y = (1/2)x - 21/2
