Respuesta :

Answer: y = (1/7) x - 2

Step-by-step explanation:

The slope-intercept form of an equation is y = mx + b, where m is the slope and b is the y-intercept.

The slope of an equation is the change in y over the change in x.

We can see from the image that every time the line increases by 1 in the rise (y), it increases by 7 in the run (x).

Therefore, the slope is 1/7.

The y-intercept of a line is the point at which it intercepts the y-axis.

From the image, we can see that it intersects at the point (0,-2)

Therefore, the slope-intercept form is y = (1/7) x - 2

Take two points

  • (0,-2)
  • (-7,-3)

Slope:-

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

Equation in point slope form

[tex]\\ \sf\longmapsto y+3=1/7(x)[/tex]

[tex]\\ \sf\longmapsto y=1/7x-3[/tex]

Otras preguntas