Step-by-step explanation:
First, find the slope of the line using the slope formula where (1, -3) = (x1, y1) and (3, 7) = (x2, y2).
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]
[tex]m = \frac{7 - ( - 3)}{3 - 1} [/tex]
[tex]m = \frac{10}{2} = 5[/tex]
Use point-slope form to find the equation.
[tex]y - y1 = m(x - x1)[/tex]
[tex]y - ( - 3) = 5(x - 1)[/tex]
[tex]y + 3 = 5x - 5[/tex]
Subtract 3 on both sides
[tex]y = 5x - 8[/tex]
To put the equation in function notation, simply change the y to f(x) and you'll get
f(x) = 5x - 8
Answer:
y=5x-8
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(7-(-3))/(3-1)
m=(7+3)/2
m=10/2
m=5
y-y1=m(x-x1)
y-(-3)=5(x-1)
y+3=5(x-1)
y=5x-5-3
y=5x-8
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