Answer:
y = -5x - 21
Step-by-step explanation:
Given in the question,
equation of a parallel line
y = -5x + 6
point through which it passes
(-4,-1)
Step1
Find the gradient of the equation given, as it is parallel so it will have same gradient
equation of straight line
y = mx + c
where m is gradient
c is y intercept
y = -5x + 6
m =-5
Step2
Find y-intercept
-1 = -5(-4) + c
-1 = 20 + c
c = -20 - 1
c = -21
Step3
form the equation
y = -5x - 21
Answer: 62.83
Step-by-step explanation:
Answer:
y = 10
x = 25
Step-by-step explanation:
From the U theorem the sum of these two angles 120+2x+y = 180
same goes for the bottom part too:
2x-y+140 = 180 now add two equations up
120+2x+y + 2x-y+140 = 180 + 180 add like terms (-y will eliminate +y)
4x + 260 = 360 subtract 260 from both sides
4x = 100 divide both sides by 4
x = 25 since the sum of 2x-y+140 = 180 we can find the value of y by replacing x with 25
2*25 - y + 140 = 180
50 - y + 140 = 180 add like terms
190 - y = 180 subtract 190 from both sides
-y = -10 and y = 10
Answer: 60
Step-by-step explanation: multiply four by 15 in this case take four 15's and add them all up
I think what you are looking for is to indicate an ecuation for this. So lets do the procedure:
First you need to find the slope of this line.
<span>(5 - 6)/(5 + 1) = -1/6 </span>
<span>So, The slope of the perpendicular line is the opposite reciprocal, which is </span>
<span>+6/1.</span><span>Now we know the slope of the line but still have to find the mid point of the line. </span>
That is why we are going to <span>use the mid point equation </span>
<span>x = (-1 + 5)/2 = 2 </span>
<span>y = (6 + 5)/2 = 11/2 </span><span> </span>
<span>(y - 11/2) = 6(x - 2) </span>
<span>The last thing you do is rearrange the equation to get y = 6x - 6.5
Hope this is what you were looking for </span>
