Answer:
y = 8x + 7
Step-by-step explanation:
We are given that a line contains the point (-2, -9), and a slope of 8
We want to write the equation of this line
There are multiple ways to write the equation of the line:
- Slope-intercept form, written as y=mx+b where m is the slope and b is the y intercept
- Standard form, written as ax+by=c, where a, b, and c are free integer coefficients, but a and b cannot be zero and a cannot be negative
- Point-slope form, written as [tex]y-y_1=m(x-x_1)[/tex], where m is a slope and [tex](x_1, y_1)[/tex] is a point
The most common of these 3 methods is slope-intercept form, so let's write our equation this way
As we are already given the slope, we can immediately plug that into our formula for m
Replace m with 8:
y=8x+b
Now we need to find b
As the equation passes through (-2, -9), we can use its values to help solve for b
Substitute -2 as x and -9 as y:
-9 = 8(-2) + b
Multiply
-9 = -16 + b
Add 16 to both sides
7 = b
Substitute 7 as b.
y = 8x + 7
Topic: finding the equation of the line
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