Write in slope-intercept form an equation of the line that passes through the given points.

y = 1/4x

Step-by-step explanation:

First find the slope

m = (y2-y1)/(x2-x1)

    = (2-1)/(8-4)

    = 1/4

The slope intercept form of a line is

y = mx+b

where m is the slope and b is the y intercept

y = 1/4x +b

Substitute a point into the equation

1 = 1/4(4) +b

1 = 1+b

b= 0

y = 1/4x

y=3n + 1

step-by-step explanation:

this is wrong because it says the second number is one less and i added one instead

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).