Answer:
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Given lines:
- 3x + y = 1 and y + 6 = - 3x
Convert both equations to slope-intercept form of y = mx + b:
- 3x + y = 1 ⇒ y = - 3x + 1
- y + 6 = - 3x ⇒ y = - 3x - 6
Slopes are same, so these are parallel lines, and the distance between parallel lines is:
, where b₁, b₂ - y-intercepts, m- slope
Substitute and calculate:
Answer:
Step-by-step explanation:
an equation perpendicular to the equation given will have a slope of -1, because a perpendicular slope is opposite and reciprical. if it goes through the point 4,-1 and has a slope of -1, the y intercept has to be 3. y = -x + 3
parallel lines have to have the same slope of 3.
Answer: x = 7, y = -3
<u>Step-by-step explanation:</u>
3y = 26 - 5x --> added 5x to both sides to get: 5x + 3y = 26
Elimination method (I am going to eliminate "x":
5x + 3y = 26 → 6(5x + 3y = 26) → 30x + 18y = 156
6x + 7y = 21 → -5(6x + 7y = 21) → <u> -30x - 35y</u> =<u> -105</u>
-17y = 51
<u> ÷-17 </u> <u>÷-17</u>
y = -3
Now, input y = -3 into one of the original equations to solve for "x":
3y = 26 - 5x
3(-3) = 26 - 5x
-9 = 26 - 5x
-9 -26 = -5x
-35 = -5x
7 = x
Answer:
= −31/4
(Decimal: -7.75)
Step-by-step explanation:
