The slope-intercept form:
y = mx + b
m - slope
b - y-intercept
Answer:
B. y = 4/9x + 4
slope = 4/9, y-intercept = 4
D. y = -4/9x - 4
slope = -4/9, y-intercept = -4
You basically just take 3^2 and 2^2 to get 9/4
9/4 is the answer
y- intercept = (0, 4), x-intercept = (- 2, 0)
to find the intercepts let x = 0 and y = 0 in the equation
x = 0 → y = 0 + 4 =4 ⇒ y-intercept (0, 4)
y = 0 → 2x + 4 = 0 ⇒ x = - 2 ⇒ x- intercept(- 2, 0)
The most important part of this question is understanding the words of the problem. The trick lies in the words of the problem. Once the web of words is simplified, the problem becomes very easy. The main thing is converting the words into numbers.
Let us assume the unknown number = x
Then from the question we get
(x/4) = (x/5) + 1
(x/4) - (x/5) = 1
(5x - 4x)/20 = 1
x/20 = 1
x = 20
So the unknown number is 20
Quadrant 2.
This is because the x-value is negative, and therefore is on the left side of the axis; and the y-value is positive, and therefore is on the top side of the axis. Putting this together, we find that (-2.7) is in Quadrant 2.
