Respuesta :

Let's write the equation in standard from

[tex]y = mx + b[/tex]

Where,

  • m is slope or rate of change
  • b is the y-intercept or initial value

Let's start by finding slope⤵️

[tex] \boxed{ \sf \: m = \frac{ y_{2} - y_{1} }{ x_{2} - x_{1}}}[/tex]

  • x1, y1 = 0,12
  • x2, y2 = 1,13

[tex] \tt \: m = \frac{13 - 12}{1 - 0} [/tex]

[tex] \tt \: m = \frac{1}{1} [/tex]

[tex] \tt \: m = 1[/tex]

  • b = 12

Equation⤵️

[tex] \sf \: y = 1x + 12[/tex]

Solution:

Step-1: Create a coordinate plane.

  • Graph attached~

Step-2: Plot the points on the graph.

  • Points have been plotted on the graph.

Step-3: Choose any two points on the graph.

  • My chosen points are (2,14) and (3,15).

Step-4: Find the slope of the line by using y₂ - y₁/x₂ - x₁.

  • => 15 - 14/3 - 2
  • => 1/1
  • => Slope = 1

Step-5: Find the y-intercept.

  • We are given a point (0,12), where 0 is the x-coordinate. Since it is 0, 12 is the y-intercept.

Step-6: Revise the equation created.

  • y = mx + b (m = slope; b = y-intercept)
  • => y = (1)x + 12
  • => y = x + 12

Hoped this helped!

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