A line passes through the points (-10,-5) and (20,10) what is the equation of the line A. y=5x B.Y=2x C.1/2 x Dy=1/5 x
2 answers:
Answer:
C. y = ½x
Step-by-step explanation:
<em>Step 1</em>. Find the slope of the line
The general equation for a straight line is
y = mx + b
The slope m is
m =(y₂ -y₁)/(x₂/x₁)
Your points are (-10, -5) and (20, 10).
m = [10 – (-5)]/[20 – (-10)] Remove inner parentheses
m = (10+5)/(20 + 10)
m = 15/30
m = ½
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<em>Step 2</em>. Find the equation of the line
Substitute the point (20, 10) into the general equation.
10 = ½×20 + b
10 = 10 + b
b = 0
The equation of the line is y = ½x.
The graph shows your line passing through your two points with a slope
m = ½ and a y-intercept at (0, 0).
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