Answer:
y = -x + 2
Step-by-step explanation:
We are given that a line has a slope of -1 and passes through the point (3, -1)
We want to write the equation of this line in slope-intercept form
Slope-intercept form is written as y=mx+b, where m is the slope and b is the value of y at the y intercept
As we are already given the slope, we can immediately plug its value into y=mx+b.
Replace m with -1 in y=mx+b.
y = -x + b (there's no need to write -1 in front of x. If -1 is the coefficient in front of a variable, just writing a minus sign in front of the variable is enough).
Now we need to find b.
As the equation passes through the point (3, -1), we can use it to help solve for b.
Substitute 3 as x and -1 as y.
-1 = -3 + b
Add 3 to both sides
2 = b
Substitute 2 as b in the equation so far.
y = -x + 2
Topic: finding the equation of the line (in slope-intercept form).
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