Answer:
The slope is -3/4
The equation, in standard form, is 3/4x + y = 3
Step-by-step explanation:
Knowing the x-intercept and y-intercept on a graph, you can determine the slope of the line using the point-slope formula (y2-y1 / x2-x1). In this case, the x intercept represents the ordered pair (4,0), and the y-intercept represents the ordered pair (0,3). Given those numbers, you get (0-3) / (4-0), or -3/4. That's the slope.
Written in slope formula (y=mx+b), you get y= -3/4x + 3. To write in standard form, isolate the integer by adding 3/4x to both sides. This gives you the answer of 3/4x + y = 3.
Hope this helps!
Answer:
y = -3/4x - 7
Step-by-step explanation:
Parallel lines have the same slope.
Solve for y in the equation to find the slope.
x - 4y = 4x
-4y = -x + 4x
-4y = 3x
y = 3/-4 x = -3/4x So the slope is -3/4 which is the coefficient of the
x term
Substitute the slope(m) = -3/4 and point (-8, -1) into y = mx + b to solve for "b"
y = mx + b
-1 = -3/4(-8) + b
-1 = 6 + b
-1 - 6 = b
-7 = b
The equation of the new line: y = mx + b
y = -3/4x - 7
Step-by-step explanation:
all work is pictured and shown
Answer: 56in³
Step-by-step explanation:
Let the volume of solid B de denoted as x. Based on the information given in the question, we can solve further by:
1/2 = 28/x
Cross multiply
1 × x = 2 × 28
x = 56
Therefore, the volume of solid is 56in³.
So in matt's equation, he made a mistake in the a transision from line 2 to line 3
in line 2: -4(-2)2
in line 3: -4(4)
the mistake is that -2 times 2 is not equal +4 it is equal to -4
also from lines 5 to 6 he made a mistake in order of opperations (mulit division then addition and subtract)
line 5: -10+30/5
line 6: 20/5
so he first subtracted 10 then divided, he should have divided then subtracted
so the equation should have equaled
Karen used the correct (-) times (+) property and the order of operations
so Karen is correct and Matt is wrong.