Answer:
1). Yes
2). Yes
3). No
Step-by-step explanation:
1). y = 3
We can rewrite this equation in the slope-intercept form as,
y = 0.x + 3
Here, slope = 0
y-intercept = 3
Therefore, it's a linear relation.
YES.
2). 2x - 5y = 10
5y = 2x - 10
y = 
Therefor, it's a linear function.
YES
3). y = x(x + 3)
y =x² + 3x
Since, this equation is a quadratic equation,
It's not a linear function.
NO
Answer:
y = 2/3x - 13
Step-by-step explanation:
We have a slope of 2/3 and a point (9, -7)
The point slope form of a line is
y-y1 = m(x-x1)
y--7 = 2/3 (x-9)
Distribute
y+7 = 2/3x - 6
Subtract 7 from each side
y+7-7 = 2/3x -6-7
y = 2/3x - 13
This is in slope intercept form.
Sorry its hard to read and see
Answer:
x = 1
, y = -2
Step-by-step explanation:
2x + 5y + 11 = 0 --- Equation 1
3x - y - 8 = 0
15x - 5y - 40 = 0 --- Equation 2
Equations 1+2: 2x + 5y + 11 + 15x - 5y - 40 = 0 + 0
17x - 29 = 0
17x = 29
x = 29 ÷ 17
x = 1
Substitute x = 1
into Equation 1:
2x + 5y + 11 = 0
2(1
) + 5y + 11 = 0
3
+ 5y = -11
5y = -11 - 3
= -14
y = -14
÷ 5
y = -2