Answer:
y = -2x -3
Step-by-step explanation:
- the altitude trough F is a perpendicular line to the line DE
- find slope of line DE
D ( x2 = -5, y2 = -1); E (x1 = 3, y1 = 3)
slope m = (y2-y1) / (x2-x1) = (-1-3) / (-5-3) = -4/ -8 = 1/2
-find equation of the altitude trough F
lines that are perpendicular have the slope negative reciprocal (negative reciprocal of 1/2 is -2)
y= -2x +b , for point F(1, -5)
-5 = -2*1 +b, add 2 to both sides
-5 +2 = b, combine like terms
-3 =b
equation of the altitude trough F is y = -2x -3
Answer:
Step-by-step explanation:
$120= the amount to pay for the shoe
$20 paid for the month
Balance to pay = $100
Then 3% interest rate on credit card = 3% of $100=$3
Therefore amount to pay = $3+$100=$103
Answer:
The equation of the line is:

Step-by-step explanation:
Given the points
Finding the slope between the points




We know the slope-intercept form of the line equation

where m is the slope and b is the slope-intercept form
substituting the value m=2 and the point (-2, -5) to find the b-intercept

-5 = 2(-2) + b
b = -5+4
b = -1
Now, substituting m=2 and b=-1 in the slope-intercept form to get the equation of a line
y=mx+b
y=2x+(-1)
y=2x-1
Thus, the equation of the line is:

The slope is (4,3). You look at the y intercept (where the y axis is crossed by the line) and simply count rise over run until you reach the next point. The next point from the y intercept (-2,0) is (2,3).
-2+4=2
0+3=3
And there you go. In fraction form it’s 4/3.
Hope this helped!