Answer:
y = -7x + 23
Step-by-step explanation:
We are given that a line has a slope of -7 and passes through the point (4, -5)
We want to write 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 value of y at the y intercept
As we are already given the slope, we can immediately substitute it into y=mx+b.
Replace m with -7.
y = -7x + b
Now we need to find b.
As the equation passes through (4, -5), we can use it to help solve for b.
Substitute 4 as x and -5 as y.
-5 = -7(4) + b
Multiply
-5 = -28 + b
Add 28 to both sides
23 = b
Substitute 23 as b in the equation
y = -7x + 23
Topic: finding the equation of the line (in slope-intercept form)
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