Write the equation of the line that passes through (3, 4) and (2, -1) in slope intercept form

1) slope = (y2 - y1)/(x2-x1) = (4-(-1))/(3 -2)= 5/1 = 5

2) Slope-intercept from is

y = mx +b, where m is a slope and b is y-intercept.

m=5

3) y=5x + b

Take point (3,4), where y=4, x=3.

4=5*3 + b

4=15 + b

b= - 11

4) y=5x + b, and b = - 11, so

y=5x - 11.

y=5x - 11 is an equation in slope-intercept form.

step-by-step explanation:

this can be solved first with pythagorean theorem, which tells us to square both legs of the triangle and sum it. this will be equal to the square of the hypotenuse.

the hypotenuse is the side "opposite" the 90 degree angle, which is x.

so we can write using pythagorean theorem,

simplifying:

to further simplify this radical, we need to use the property  

thus

p - 6

step-by-step explanation

so you know that it cost $6 to see a movie you subtract p - 6 to get your answer

hope this !