Answer:
The equation of the line would be y = -1/3x - 4
Step-by-step explanation:
In order to find this, we first need to find the slope of the original line. We do this by solving for y.
2x + 6y = 10
6y = -2x + 10
y = -1/3x + 5/3
Now that we see the slope as -1/3, we know the new line will have the same slope thanks to the definition of parallel lines. So, we can use this slope and the point in point-slope form to find the equation.
y - y1 = m(x - x1)
y - -5 = -1/3(x - 3)
y + 5 = -1/3x + 1
y = -1/3x - 4
Answer:
B. 100
Step-by-step explanation:
(m + n)^2
= m^2 + 2mn + n^2
Rearrange
(m^2 + n^2) + 2mn
Substitute
(68) + 2*16
= 68 + 32
= 100
Answer:
y = 2x
Step-by-step explanation:
Formula is y = mx + b
m is slope
slope = (4 - -2) / (2 - -1) = 6 / 3 = 2
Now equation is y = 2x + b
To find b, substitute one of the coordinates in the equation. Let's use (2,4)
y = 2x + b
4 = 2(2) + b
b = 0
So equation is y = 2x
