A=(-7,-18),B=(3,y),C=(x,6) and the slope of the line=3/5
x=?
y=?
I guess A, B and C lie on a line?
then
(y - -18)/(3- -7) = 3/5
(y+18)/10 = 3/5
y+18 = 6
y = -12
do the same thing from B to C to get x knowing that y is -12
kk ty bro
To find the values of x and y, we can use the slope formula:
m = (y2 - y1) / (x2 - x1)
Given that the slope (m) is 3/5 and two points A=(-7,-18) and B=(3,y), we can substitute the values into the slope formula:
3/5 = (y - (-18)) / (3 - (-7))
Simplifying the equation:
3/5 = (y + 18) / 10
Cross-multiplying:
10 * 3 = 5 * (y + 18)
30 = 5y + 90
Subtracting 90 from both sides:
-60 = 5y
Dividing by 5:
-12 = y
So, the value of y is -12.
Now, to find the value of x, we can use the same slope formula:
m = (y2 - y1) / (x2 - x1)
Given that the slope (m) is 3/5 and two points A=(-7,-18) and C=(x,6), we can substitute the values into the slope formula:
3/5 = (6 - (-18)) / (x - (-7))
Simplifying the equation:
3/5 = (6 + 18) / (x + 7)
Cross-multiplying:
5 * (6 + 18) = 3 * (x + 7)
5 * 24 = 3 * (x + 7)
120 = 3x + 21
Subtracting 21 from both sides:
99 = 3x
Dividing by 3:
33 = x
So, the value of x is 33.
Therefore, x = 33 and y = -12.