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