Respuesta :

Answer:

The equation of the line will be:

  • y = 0

Step-by-step explanation:

Given the points

  • (0, 0)
  • (3, 0)

Finding the slope

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(0,\:0\right),\:\left(x_2,\:y_2\right)=\left(3,\:0\right)[/tex]

[tex]m=\frac{0-0}{3-0}[/tex]

[tex]m=0[/tex]

We know that the value of y-intercept can be obtained by setting x=0, and solving for y

Here,

at x = 0, the value of y = 0

Thus,

y-intercept = b = 0

We know the slope-intercept form of the line equation is

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

where m is the slope and b is the y-intercept

now substituting m = 0 and b = 0 in the slope-intercept form

y = mx+b

y = 0(x) + (0)

y = 0+0

y = 0

Therefore, the equation of line will be:

  • y = 0