Step-by-step explanation:
the slope is the ratio of "y coordinate difference / x coordinate difference".
so, let's find 2 good points (I mean by that with integer coordinates). I see e.g.
(-1, -1) and (0, -7)
x changes by +1 (from -1 to 0).
y changes by -6 (from -1 to -7).
so, the slope is -6/1 = -6.
D is the right answer.
-(-5 - 6x) = 4 (5x +3)
Pretend that there is a -1 in front of the first bracket
-1(-5-6x)= 4(5x+3)
Mutiply the first bracket by -1
(-1)(-5)(-1)(-6x)= 5+6x
Mutiply the second bracket by 4
(4)(5x)(4)(3)= 20x+12
5+6x= 20x+12
move 20x to the other side
5+6x-20x= 20x-20x+12
5+6x-20x= 12
5-14x= 12
move 5 to the other side
sign changes from +5 to -5.
5-5-14x= 12-5
-14x=7
divide by -14
-14x/-14= 7/-14
x= -1/2
Answer: x= -1/2
To find the slope of a line given the coordinates of two points, you should use the formula, Slope=y2-y1/x2-x1.
To find the slope of a line which contains the coordinates (8,-3) and (-2,7), you should substitute them into the previous mention formula.
Slope=y2-y1/x2-x1
Slope=(7--3)/(-2-8)
Slope=(10)/(-10)
Slope=-1
The slope of the line which contains the coordinates (8,-3) and (-2,7) is -1 or in other words letter A from the given choices.
Answer:
2/3
Step-by-step explanation: