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FrozenT [24]
3 years ago
10

What is the equation of this graphed line?

Mathematics
2 answers:
Cloud [144]3 years ago
4 0
2x-y+2=0
slope=y-y/x-x
6-(-6)/2-(-4)=2
eq=Y-y/X-x
y-6/x-2=2
2x-4=y-6
2x-y+2=0
jek_recluse [69]3 years ago
3 0

y = 2x + 2

the equation of a line in slope-intercept form is

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 4, - 6) and (x₂, y₂ ) = (2, 6 ) ← 2 points on the line

m = \frac{6+6}{2+4} = \frac{12}{6} = 2

the line crosses the y-axis at (0, 2 ) ⇒ c = 2

y = 2x + 2 ← equation of line


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