Write the equation for each line. (will give brainlest)

y = x + 5

Step-by-step explanation:

The equation of a line is: y = mx + c where m is the slope of the line and c is the y-intercept. I will be calculating the slope using the points (0, 5) and (-2, 0).

Slope =

          =

          =

Thus, the slope of the line is .

Based on the graph, the y-intercept is 5.

Thus, the equation of the line is: y = x + 5.

y = (5/2)(x + 2).  This is equivalent to y = (5/2)x + 5

Step-by-step explanation:

Two points on this line are (-2, 0) and (0, 5).  Going from the first to the second, we see x increasing by 2 and y increasing by 5.  Thus, the slope of this line is m = rise / run = 5/2.

Find the equation of this line in point-slope form y - k = m(x - h) becomes

y - 0 = (5/2)(x + 2), or y = (5/2)(x + 2).  This is equivalent to y = (5/2)x + 5.

all it means is function 3

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).