Answer:
15
Step-by-step explanation:
First, solve for Line 1
3x + 4y = -14
<em>move the x to the right of the equation</em>
4y = -3x - 14
<em>divide the whole equation by 4 </em>
y = -3/4x - 14/4
<u>Line 1 is y = -3/4x - 7/2 </u>
Then, solve for Line 2
Since Line 2 is perpendicular, change the sign of the slope of Line 1 and then get the reciprocal of that.
-3/4 to 3/4 to 4/3
4/3 is the slope of Line 2.
Now, we want to find what the b of the equation is, so we can plug in our x (-5) and our y (7) into the y=mx+b equation to find b. The 4/3 is the m or the slope.
y = mx + b
<em>plug in the y, m, and x into the equation</em>
7 = (4/3)(-5) + b
<em>multiply the m and x together </em>
7 = -20/3 + b
<em>add 20/3 to both sides so it will cancel out on the right of the equation and be added to the 7 on the left of the equation</em>
<u>41/3 = b </u>
So, m = 4/3 and b = 41/3
Add them together and you get 45/3 or 15.
I hope this helped!
Answer:
12.6885775404
Step-by-step explanation:
In the coordinate plane, the length of the line segment that connects points at (0, -1) and (-7, -2) is 7.07 units.
