Answer:
y = -4x + 1
Step-by-step explanation:
We are given that a line has a slope of -4 and a point (1, -3).
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 plug its value into the equation.
Substitute -4 as m in the equation.
y = -4x + b
Now we need to find b.
As the equation passes through the point (1, -3), we can use its values to help solve for b.
Substitute 1 as x and -3 as y.
-3 = -4(1) + b
Multiply.
-3 = -4 + b
Add 4 to both sides
1 = b
Substitute 1 as b in the equation.
y = -4x + 1
Topic: writing the equation of the line (slope-intercept form)
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