Which of the following equations represents the line with a slope of 2/3 and a y-intercept of 9? y = 3/2x + 9 y = 2/3x - 9 y = 3/2x - 9 y = 2/3x + 9

y = mx + b where m = slope and b = y intercept

In this case, it's given a slope of 2/3 and a y-intercept of 9

So equation y = 2/3 x + 9

Answer

y = 2/3 x + 9

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).