Answer:
y = 2x + 5
Step-by-step explanation:
Finding the slope:
[tex]\frac{y2-y1}{x2-x1}\\[/tex]
= (1-(-3))/(-2-(-4))
= (1+3)/(-2+4)
= 4/2
= 2
Slope: 2
Substituting the slope into the formula 'y=mx+c':
y = 2x+c
Substituting any point (in this case, (-2,1)):
1 = 2(-2) + c
1 = -4 + c
c = 1 + 4
c = 5
Hence,
y = 2x + 5
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