The 'scale' of the map is a ratio (or a fraction).
It's <em>(length on the map) / (distance in the real world)</em> .
Different maps have different scales, but the scale is normally the same
everywhere on the same map. So no matter <em>where</em> it is on the map, or <em>how </em>
<em>long</em> the distance is on the map, the ratio is always the <em>same number</em> on <em>that</em>
<em>map</em>.
On this particular map in this question, the ratio is (3.5 inches) / (210 miles) .
Any other measurement on the same map has the same ratio ... and what do
you have when you have equal ratios ?? That's right ! A proportion ! !
The other measurement has the ratio (1.75 inches) / (X miles) , and <u>THAT</u>
fraction is equal to the other one.
(1.75) / ( X ) = (3.5) / (210)
Cross-multiply in the proportion: (1.75 times 210) = (3.5 times X).
Can you find 'X' now ?
Hint: Divide both sides of that equation by 3.5 .
(-9,-2) (1,3)
slope = (3 - (-2) / (1 - (-9) = 5/10 = 1/2
y - y1 = m(x - x1)
slope(m) = 1/2
(1,3)...x1 = 1 and y1 = 3
sub
y - 3 = 1/2(x - 1)
y - 3 = 1/2x - 1/2
y = 1/2x - 1/2 + 3
y = 1/2x - 1/2 + 6/2
y = 1/2x + 5/2 <=== slope intercept form
Answer:
Step-by-step explanation:
A y = -3.6x + 12.8
Fifty thousand and three hundred seventy two