Respuesta :

Take 2points

  • (0,6)
  • (1,7)

Slope:-

[tex]\\ \sf\longmapsto m=\dfrac{7-6}{1-0}=\dfrac{1}{1}=1[/tex]

Equation of line in point slope form

[tex]\\ \sf\longmapsto y-y_1=m(x-x_1)[/tex]

[tex]\\ \sf\longmapsto y-6=1(x-0)[/tex]

[tex]\\ \sf\longmapsto y-6=x[/tex]

[tex]\\ \sf\longmapsto x-y+6=0[/tex]

Answer:

  • y = x + 6

Step-by-step explanation:

According to the graph:

  • The line has a y-intercept of 6
  • The rate of change is 1 as x and y both increase by 1 unit each.

The slope-intercept form:

  • y = mx + b, where m-slope, b- y-intercept

Substitute the values to get:

  • y = x + 6
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