If OQ and RT are parallel lines and M
1 answer:
You might be interested in
Answer:
Step-by-step explanation:
Point-slope form is represented by . To write an equation with it, we need the slope of the line and a point the line crosses through. We already have at least one point the line crosses through, so let's figure out the slope.
To find the slope, use the slope formula .
and
represent the x and y values of one point the line crosses, and
and
represent the x and y values of another point the line crosses. So, using the x and y values of (1, -6) and (8, 9), substitute them into the formula and solve:
Thus, the slope is .
2) Now, using the point-slope form of , substitute
,
, and
for real values in order to write an equation in point-slope form. The
represents the slope, so substitute
in its place. The
and
represent the x and y values of one point on the line. So, choose any one of the points given - either one is fine - and substitute its x and y values for
and
. (I chose (8,9)). This gives the following equation and answer:
Hey John
Let's start solving #1
x/4 = 3.5/28
Cross multiply
(x)(28) = (3.5)(4)
28x = 14
Divide both sides by 28
28x/28 = 14/28
x = 1/2
Next, let's solve the second one
Simplifies to:
Cross multiply
(105x + 75)(5) = (28)(50x)
525x + 375 = 1400x
Subtract 1400x to both sides
525x + 375 - 1400x = 1400x - 1400x
-875x + 375 = 0
Then subtract 375 from both sides
-875x + 375 - 375 = 0 - 375
-875x = -375
To find x, divide both sides by -875
-875x/-875 = -375/-875
x = 3/7
Let me know if you have questions about the answer.
Best of luck with your studies!
Let's start solving #1
x/4 = 3.5/28
Cross multiply
(x)(28) = (3.5)(4)
28x = 14
Divide both sides by 28
28x/28 = 14/28
x = 1/2
Next, let's solve the second one
Simplifies to:
Cross multiply
(105x + 75)(5) = (28)(50x)
525x + 375 = 1400x
Subtract 1400x to both sides
525x + 375 - 1400x = 1400x - 1400x
-875x + 375 = 0
Then subtract 375 from both sides
-875x + 375 - 375 = 0 - 375
-875x = -375
To find x, divide both sides by -875
-875x/-875 = -375/-875
x = 3/7
Let me know if you have questions about the answer.
Best of luck with your studies!