Answer: y = -x + 5
Step-by-step explanation:
A slope-intercept equation is in the form y = <em>m</em>x + <em>b</em> where <em>m</em> is the slope and <em>b</em> is the <em>y</em>-intercept. Since we are given the slope, we will plug it in with the point they gave us, and solve for <em>b</em>.
y = <em>m</em>x + <em>b</em>
(1) = (-1)(4) + <em>b</em>
1 = -4 + b
5 = b
Lastly, we will write our equation by substituting <em>m</em> with -1 and <em>b</em> with 5.
y = <em>m</em>x + <em>b</em>
y = -1x + 5 or y = -x + 5
<em> Read more about </em><em>slope-intercept equations</em><em> here:</em>
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Because we know x stays constant, draw a point on (0,5). then draw a line extending up and down from (0,5) indefinitely because no matter what y is, x always stays the same--5.
