Find the value of r in (4,,2) so that the slope of the line containing them is -5/3

Answer :  

The value of r in (4,r),(r,2) so that the slope of the line containing them is is 7

Solution:  

Slope of the line which is passes through

→ (1)

From question given that two points are (4, r), (r, 2). Hence we get

By substituting the values in equation (1),

→ (2)

Also given that slope that is m = , so on substituting the value of m in equation (2),

On simplifying,

-5r+20=6-3r

5r-3r=20-6

2r = 14

r  =7

Hence value of r is 7.

y = - 6

step-by-step explanation:

given the point (- 2, y) lies on the graph then it is a solution of it's equation.

substitute x = - 2 into the equation for value of y

y = 3(- 2) = 3 × - 2 = - 6

the point on the graph is (- 2, 6)

y=mx+b

step-by-step explanation:

m is slope, b is y-intercept