X/2 + y/3 = 6....multiply by common denominator (6) to get rid of fractions..
3x + 2y = 36
3x + 2y = 36
x - y = 2....x = y + 2
3(y + 2) + 2y = 36
3y + 6 + 2y = 36
3y + 2y = 36 - 6
5y = 30
y = 30/5
y = 6
x - y = 2
x - 6 = 2
x = 2 + 6
x = 8
solution is : (8,6)
Option A is the answer of this question.
Answer:
Option C i.e. y = 1/2x + 5 is the correct option.
Step-by-step explanation:
The slope-intercept form of the line equation
y = mx+b
where
Given the points
A(4, 7)
B(-4, 3)
Determining the slope between A and B
Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [3 - 7] / [-4 - 4]
= -4 / -8
= 4/8
= 1/2
Thus, the slope of the line = m = 1/2
We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.
From the graph, it is clear
at x = 0, y = 5
Thus, the y-intercept b = 5
now substituting m = 1/2 and b = 5 in the slope-intercept form
y = mx+b
y = 1/2x + 5
Therefore, the equation of line in the graph is:
y = 1/2x + 5
Thus, option C i.e. y = 1/2x + 5 is the correct option.
I would say Jupiter but i may be wrong