avastout08 avastout08
  • 22-03-2022
  • Mathematics
contestada

Write in slope-intercept form an equation of the line that passes through the given points.

(−1,4),(3,8)

Respuesta :

aliyafalvon aliyafalvon
  • 22-03-2022
answer: y = x + 5

step by step explanation:
Answer Link
Esther
Esther Esther
  • 22-03-2022

Answer:

y = x + 5

Step-by-step explanation:

Slope (m) formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{8-4}{3-(-1)}\\\\m=\frac{8-4}{3+1}\\\\m=\frac{4}{4}\\\\m=1[/tex]

y = mx + b

y = 1x + b  OR y = x + b

(-1, 4)

y = x + b

4 = -1 + b

+1   +1

5 = b

y = x + 5

Check your answer using y = x + 5 and (3, 8):

y = x + 5

8 = 3 + 5

8 = 8

This statement is true

Therefore, our final answer is, y = x + 5.

Hope this helps!

Ver imagen Esther
Answer Link

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