The y intercept form is
y = mx + b y=mx+b
Changing the equation
3x + y = 7 3x+y=7 to get the y intercept form add -3x−3x to both sides
3x + (-3x) + y = -3x + 7 3x+(−3x)+y=−3x+7 which gives the y intercept form
y = -3x + 7y=−3x+7
m =m= the slope ( think mountain ski slope)m = -3 m=−3
b =b= the y intercept ( thing beginning) b= 7 or ( 0,7)b=7or(0,7)
The x intercept form is
x = my + b x=my+b
Solve the equation for x
3x + y = 7" " 3x+y=7 subtract y from both sides
3x + y -y = -y + 7" " 3x+y−y=−y+7 This gives
3x = -y + 7" " 3x=−y+7 divide both sides by 3
(3x)/3 = (-y)/3 + 7/3 3x3=−y3+73 The result is
x = -1/3 xx y + 7/3x=−13×y+73
The xx-intercept is 7/3 or ( 7/3, 0)73or(73,0)
