Respuesta :

Answer:

[tex] y = 2x - 5 [/tex]

Step-by-step explanation:

Find the slope using the points, (1, -3) and (3, 1):

[tex] slope(m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 -(-3)}{3 - 1} = \frac{4}{2} = 2 [/tex]

m = 2

Find the y-intercept (b) by substituting x = 1, y = -3, and m = 2 in [tex] y = mx + b [/tex]

[tex] -3 = (2)(1) + b [/tex]

[tex] -3 = 2 + b [/tex]

Subtract 2 from both sides

[tex] -3 - 2 = 2 + b - 2 [/tex]

[tex] -5 = b [/tex]

[tex] b = -5 [/tex]

Plug in the value of m and b into the slope-intercept form equation, [tex] y = mx + b [/tex].

Thus:

[tex] y = 2x +(-5) [/tex]

✅[tex] y = 2x - 5 [/tex]

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