Parallel lines have the same slope. Remember, parallel lines never intersect. Lines with the same slope, but different y-intercepts will not intersect.
Now, we have the slope of the line and a point that it passes through.
We can use the Point-Slope Formula:
Remember, y1 is the y-coordinate of the point, m is the slope, and x1 is the x-coordinate.
Plug in the values:
y-(-8)=1(x-(-10)
y+8=1(x+10)
y+8=x+10
y=x+10-8
y=x+2
I hope it helps you!
$212, 100 for food and 112 for average hotel cost.
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Answer:
- arc AB = 60°
- arc BC = 78°
- arc EF = 40°
- angle AFB = 30°
Step-by-step explanation:
The relevant relations are ...
- the measures of an arc and its central angle are the same
- the sum of the arcs of a circle is 360°
- the measure of an inscribed angle is half the measure of the arc it intercepts
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Arc AB has the measure of central angle AOB, 60°.
Arc EF has double the measure of inscribed angle EAF, so is 40°.
Arc BC completes the circle, so has measure ...
arc BC = 360° -arc FA -arc AB -arc CE -arc EF
arc BC = 360° -140° -60° -42° -40°
arc BC = 78°
Angle AFB is half the measure of arc AB, so is 60°/2 = 30°.