Answer:
The slope is 45.
Step-by-step explanation:
Using the slope formula by two points:
m=(y2-y1)/(x2-x1)
m=(210-120)/(4-2)
m=45
We need to convert this equation to slope-intercept form first.
We can do that by solving for y.
x - 5y = 15
<em><u>Add 5y to both sides.</u></em>
x = 5y + 15
<em><u>Subtract 15 from both sides.</u></em>
x - 15 = 5y
<em><u>Divide both sides by 5.</u></em>
y = 1/5x - 3
We now know the slope is 1/5.
The slope of the line perpendicular to the line with a slope of 1/5 is -5.
The slope of a perpendicular line is the negative reciprocal of the original slope.
Using a graphing calculator, we know the y-intercept of the line that is perpendicular to the original line must have a y-intercept of -6 to run through the points (-2, 5).
The equation of the new line is y = -5x - 6.
Just multiply !!
so 1 inch = 5 miles
3.5 inch must be 3.5×5 = 17.5 miles
so the answer is 17.5 miles !!
