Answer:
y = 2/3x - 5 or in standard form 3y = 2x - 5
Step-by-step explanation:
Remember this fact: Parallel lines have the same slope
Step 1 Solve for y so that the equation is in the slope- intersect form
2x - 3y = 6
-3y = -2x + 6
-3y/-3 = -2x/-3 + 6/-3
y = 2/3 x -2
now we know the slope is 2/3 or
when the equation is in Standard form Ax + By = C you can use this fact: slope = - A/B so the slope = -2/-3 = 2/3
Remember the Parallel lines have the same slope
Find the y-intersect "b" use the slope = 2/3 and point (6, -1)
y = mx + b
-1 = 2/3(6) + b
-1 = 4 + b
-5 = b
Now write the equation of line that is parallel to the given line and passes through point (6, -1)
y = 2/3x - 5 or in standard form 3y = 2x - 5
Answer:
y=-x-9
Step-by-step explanation:
y-y1=m(x-x1)
y-0=-1(x-(-9))
y=-1(x+9)
y=-x-9
The length is 18 and it's width is 10 because 10+8=18 and 18•10=180
Let x be height of the shadow
30/15 = 90/x
Do cross multiplication
30x =1350
x = 45
Let h= height of the screen
1/4 of 45 is 11.25
H = 11.25 + 45
H= 56.25
There's your answer. I hope I did it right.