|
Question 261669: write the equation of the line given with the given slope and y-intercept.
SLOPE= 4
Y-INTERCEPT= -5
Answer by butterfliiizzz(18)   (Show Source):
You can put this solution on YOUR website! To be able to answer this question, we will have to use the point slope equation, which is: y-y1 = m (x-x1) keep in mind, that the 1s are subscripts... that means that the 1s are supposed to be just below the variable instead of on the same level. It looks like the opposite of an exponent, which is a superscript (above the variable). Anyway, we also should note that m is the slope.
The formula for slope is the change in y over the change in x:
m = y2 - y1/x2 -x1 (keeping in mind that the 2s and 1 are subscripts)
If you are given the slope of a line, and an intercept (which is actually a point on the line where it intersects with either the x or y axis), then you can plug them into the point slope equation, and solve for y, which will put it in the proper format.
The given information in this problem is:
slope (m)= 4 (it could also be shown as 4/1... this is helpful when graphing)
y intercept = (0, -5) this is a point on the line where x = 0 and y = -5
We will insert this information into the equation, and remember that the x & y in the point for the y-intercept are represented by the x1 & y1 in the equation. So it will look like this:
y - -5 = 4(x - 0)
so we know that minus a negative equals a positive, thus y - -5 becomes y +5
And we have to distribute the 4 by multiplying, and we end up with:
y + 5 = 4x
Since we're solving for y, we subtract 5 from each side, and we get:
y = 4x - 5
|
|
|
| |
