Answer:
1) y = -1.5x - 1 || 2) y = -1.5x + 1 || 3. D ( 2 , -8 )
Step-by-step explanation:
1)
two coordinates: ( 0 , -1 ) , ( 2 , -4 )
slope = ( y2-y1 )÷(x2-x1) = (-4--1)÷(2-0) = -1.5
then find equation using: y - y1 = m ( x - x1 )
: y - - 1 = -1.5 ( x - 0 )
: y = -1.5x - 1
2)
two coordinates: ( 0 , 1 ) , ( -2 , 4 )
slope = ( 4 - 1) ÷ (-2-0) = -1.5
Find equation using y = mx +b ........where m is slope and b is y-intercept
y = -1.5x + 1
3)
y + 8 = 3(x -2 )
y = 3x -14 ..........main equation in slope intercept form.
A)
y = 3(-2)-14
y = -20 .therefore option A is incorrect
B)
y = 3(8)-14
y = 10 .therefore option B is incorrect
C)
y = 3(-8)-14
y = -38.therefore option C is incorrect
D)
y = 3(2)-14
y = 6 -14
y = -8 . therefore it matches and is correct answer.
the line crosses D( 2 , -8 )
