The set of points r(-1, 1), s(2, 4), t(6, 8) are collinear and the line has a slope of

a.-1
b.1/2
c.1
d.-1/2

OptionC

Step-by-step explanation:

Let the point R and S form a line.

The slope of line RS would be

Change in y coordinate/change in x coordinate

=

Now let us consider the line joining S and T

slope of line ST would be

=Change in y coordinate/change in x coordinate

=

Thus we find the slopes of RS and ST are equal

Since parallel lines will have equal slopes, here S is the common point

So RS and ST have to be the same line.

Or the three points are collinear with slope = 1

an

y = 6x -3y -12

y +3y +12 = 6x

=> . x = { 2y / 3 +2 } this is equation of line in terms of x

=> . if line meets the x-axis the co-ordinates of meeting point would be ( x , 0 )

=> . x = 2 ( 0 ) / 3 + 2

=> . x = 2

so, the point is ( 2 , 0 )

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).