Consider the line ℓ in the plane given by the equation 3x − 2y = 6.
a. sketch a graph of line ℓ on the axes provided
b. find a point on line ℓ and the slope of line ℓ.
c. write a vector equation for line ℓ using the information you found in part (b).
d. write parametric equations for line ℓ.
e. verify algebraically that your parametric equations produce points on line ℓ.

step-by-step explanation:

your mom

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).