Suppose that the given line has a slope of -2/3 and a y-intercept of (0,5/3). which of the following points is also a solution to the line? select all apply
a. (5,5/3)
b. (1,1)
c. (4,-1)
d. (-3,7)
e. (0,0)

From five given points it is find that points (1 , 1) and (4 , -1) will apply

Step-by-step explanation:

According to question,

Slop of line (m) =

And y-intercept is ( 0, )

So from above slope and points, the equation of line can be written as

y = mx + c

i.e = x + c

    = (0) + c

    = 0 + c

Or, c =

A) With points ( 5, )

   At x = 5, y = (5) +

            or, y = +

            so, y =

Hence this points do not apply

B) With points ( 1 , 1 )

   At x = 1, y =   (1) +  

      or,      y =  

      So,     y =  

                y = 1

Hence this points will apply

C) With points ( 4 , -1 )

    At x = 4 , y =   (4) +  

                    y =  

                    y =  

             So,  y= -1

Hence this points will apply

D) With points (-3 ,7)

    At x = - 3, y = (-3) +  

                     y =

 Hence this point will not apply

E) with points (0 , 0)

    At x 0,     y =   (0) +  

               Or, y = 0 +  

                     y =  

Hence this point will not apply

∴ From above five given points it is find that points (1 , 1) and (4 , -1) apply

Answer

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).