Geometry Distance problem : Mike lives in the white house (2, 3) at the top of the hill and Mike want to go play video games with his friend who lives in the brown house (-1, -2). Mike usually takes the route that passes by the haunted purple house (2, -1), and it always freaks him out. To avoid this, Mike's mom tells him to take the straight path there but he is convinced it's a longer route than his route. Mike decides to look into it and see which route is actually faster, who's right?Mike or Mike’s mom?

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step-by-step explanation:

this was already solved by me with a different person. if you look it up in the search bar at the top of the page, you will get the answer.

step-by-step explanation:

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form