Question

Equations written in standard form can be converted to slope- intercept form by solving for y!1) 4x + 5y = - 302) x - y = - 8

Answer 1

The general form of a slope-intercept equation is;

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

1.

4x + 5y = -30

Write it in the form of :

y= mx + c

4x + 5y = -30 ------take 4x to the right-hand side of the equation

5y = -4x -30 ---------divide each term by 5

5y/5 = -4x/5 -30/5

y= -4/5 x - 6 ---------equation in slope-intercept form

2.

x-y = -8 -------make y positive by taking it to the right-hand side of the equation

x= y-8 ----------take -8 to the left-hand side of the equation

x+8 =y

y= x+8 -------equation in slope-intercept form

Answer

1. y= -4/5 x - 6

2. y= x+ 8