1.G 2.A 3.I think A 4. F. 5. I hope F could be wrong.
Answer:
First, put the equation of the line given into slope-intercept form by solving for y. You get y = -2x +5, so the slope is –2. Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2x + b and solving for b, we get b = 6.
Step-by-step explanation:
Standard Form: Ax + By = C
x-intercept = 9: A(9) + B(0) = C ⇒ 9A = C
y-intercept = 3: A(0) + B(3) = C ⇒ 3B = C
Using substitution, 9A = 3B ⇒ 3A = B
Ax + By = C ⇒ Ax + (3A)y = C
Answer: 3x + 9y = 27 → x + 3y = 9
To solve a problem like this, you will need to use substitution or elimination. For the sake of an example I will solve this using substitution.
First, solve one of the equations for x or y:
3x-5y=-39
3x=-39+5y
X=(-39+5y)/3
Then substitute for the value of x in the second equation:
6x+2y=-42
6((-39+5y)/3)+2y=-42
Solve for y:
-78+10y +2y=-42
-78+12y=-42
12y=36
Y=3
Once you've solved for y, you can plug in it's value to find x:
X=-39+5(3)/3
X=-24/3
X=-8
So, we can conclude that the correct answer is B. (-8,3)
