BRAINLIEST if right! Write a equation for the line through the given point with the given slope using point-slope form. Answer in slope-intercept form
(10, 1); m = 1/5

Point-slope form:

Slope intercept form:

Step-by-step explanation:

Point-slope form:

y1 and x1 are the y and x coordinates for a point on the line.

m is the slope.

We know m, as it is given:

m = 1/5

We also know a point on the line, (10, 1).

Here, the x-coordinate is 10, and the y-coordinate is 1.

Thus we can say the following:

And, from previously:

Let's put these values into our equation.

If we want to answer in slope-intercept form:

We can continue based on our point-form expression to isolate y:

Add 1 to both sides:

Expanding the parenthesis (multiplying 1/5 with x and -10):

Point-slope form:

Slope intercept form:

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).