Answer:
y=0x+5
Step-by-step explanation:
The first step to making an equation of a line is finding the slope. To do this, we can use the point slope formula: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
In this case,
[tex]y_2[/tex]=5
[tex]y_1\\[/tex]=5
[tex]x_2[/tex]=0
[tex]x_1[/tex]=2
so, we have the equation [tex]\frac{5-5}{0-2}[/tex], which gives us 0. The slope of this equation is 0.
Now we have the equation y=0x+b. Let's find b! We can do this by plugging in one of the points into our new equation, let's use (2,5)
5=y, 2=x
5=0(2)+b
b=5
now, we plug b=5 into our equation, and we finally get y=0x+5!
