Find the slope of the line that passes through (6, 7) and (2, 10). and simplify if needed thx guys.

Step-by-step explanation:

the equation for finding the slope of a line when given two points is , aka the change in y over the change in x.

pick one of your coordinate pairs to be and . it doesn't matter which coordinate pair you choose as long as you keep them as and . the remaining coordinate pair will be and .

for this example, i'll use (2, 10) for and and (6, 7) for and .

**before i begin, i just want to note that you can do these next four steps in any order that you want. i personally prefer to plug in my y-values first and then my x-values, but you can choose to instead plug in the values of each coordinate pair (like starting by plugging in the coordinate pair (2, 10) with 10 for and 2 for ). it's up to you. i'm going to explain the steps by plugging in my y-values first and then my x-values because that's the way i normally do it.

first, start by plugging in the y-value from the coordinate pair of your choosing in for . since i chose (2, 10) for and , i'll plug in 10 for .

⇒

then plug in the remaining coordinate pair's y-value in for . since the coordinate pair that's left is (6, 7), i will plug in 7 for .

⇒

now i'm going to plug in the x-values. i chose (2, 10) to plug in for and , so now i'll plug in 2 for .

⇒

and all that's left to plug in is the x-value from (6, 7), so i will plug that in for .

⇒

after plugging in all the values, you have .

subtract 10 - 7 as well as 2 - 6.

⇒

cannot be simplified, therefore the slope of the line is or .

i hope this helps! have a lovely day <3

y + 11 = (1/4)(x + 16)

step-by-step explanation:

hi! i think the answer is 1/2 : )