Mathematics: Write the slope intercept form of the equation. urgent pls

A is the answer because the y intercept is 2...

Write the slope intercept form of the equation. urgent

babyduckies37

04.01.2022

a(0,3) b(3,0)

x1 = 0, y1 = 3

x2 = 3, y2 = 0

formula :

$\displaystyle \frac{y-y1}{x-x1} =\frac{y2-y1}{x2-x1}$

$\displaystyle \frac{y-3}{x-0} =\frac{0-3}{3-0}$

$\displaystyle \frac{y-3}{x} =\frac{-3}{3}$

$\displaystyle 3(y-3) = -3x$

$\displaystyle 3y - 9 = -3x\\ \\ \\ 3y= -3x+9\\ \\ \\ we\ divide\ both\ side\ by\ \\ \\ \\ y = -x+3$

a(1,1) b(0,-4)

x1 = 1, y1 = 1

x2 = 0, y2 = -4

the same formula as number 7 :

$\displaystyle \frac{y-y1}{x-x1} =\frac{y2-y1}{x2-x1}$

$\displaystyle \frac{y-1}{x-1} =\frac{-4-1}{0-1}$

$\displaystyle \frac{y-1}{x-1} =\frac{-5}{-1}$

$\displaystyle -1(y-1) = -5(x-1)$

$\displaystyle -y+1 = -5x+5$

$\displaystyle -y= -5x+4$

$\displaystyle y= 5x-4$

0,0(0 оценок)