Respuesta :

the slope intercept form is y=mx+b

since the line intersects at (0,3) b= 3

since the slope is 0 m= 0

so the equation would be y=0x+3 or y=3

Answer:

y=3

Step-by-step explanation:

Hi there!

We are given that a line contains the point (0, 3), and has the slope 0

We want to find the equation of this line, in slope-intercept form.

Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept

The y intercept is the point that intersects the y axis; at this point, the value of x is 0

The point (0, 3) we were given is actually the y intercept of this line (the value of x at this point is 0!)

We can therefore, plug it into the formula.

We can just plug in the y value as b into the equation.

Here's the equation so far:

y=mx+3

Now we need to find m.

As the the slope of the line is 0, it means that if we plug 0 in as m, then we can find the equation of the line.

So substitute 0 as m

y=0x+3

This can also be written as y=3

Hope this helps!

See more on finding the equation of the line from a slope and a point here (n.b. the answer is written in a different format, but the logic is still the same): https://brainly.com/question/14358313