Answer:
Step-by-step explanation:
The equation of a straight line can be represented in the slope intercept form as
y = mx + c
Where
m represents the slope of the line
c represents the y intercept
The equation of the given line is
2x + 4y = 20
4y = - 2x + 20
Dividing through by 4, it becomes
y = - x/2 + 5
Comparing with the slope intercept form, slope = - 1/2
If two lines are parallel, it means that they have the same slope. Therefore, the slope of the line passing through (- 6, 3) is - 1/2
To determine the y intercept, we would substitute m = - 1/2, x = - 6 and y = 3 into y = mx + c. It becomes
3 = - 1/2 × - 6 + c
3 = 3 + c
c = 3 - 3 = 0
The equation becomes
y = - x/2
Answer:
No, he is incorrect because he forgot to multiple the negative by the x, and only multiplied 3 by x instead of -3 by x.
Step-by-step explanation:
The correct re-write of this expression is:
-3x - 30
6x=16
÷6 both sides
x=16/6 or 8/3
You know that 6x+3 equals 45 because the two sides are equal. So you first put the equation 6x+3=45. Then you use the subtraction property of equality and subtract 3 from both sides. This gives you 6x=42. Then you divide 6 from both sides to get you final answer, x=7
Answer:
10
Step-by-step explanation:
Here we go!
Slope Formula:
What we know: (-4, -52) and (-1, -22)
Plug in the numbers!
Fix it!
Add
Divide
(negative divided by a negative is a positive!!)
Slope is 10
Hope this helps!
