Answer:
ANSWER is B. look at the sides and simplified.
Answer:
y=3/2x+18
Step-by-step explanation:
Hi there!
We are given a point (-6,9) and a slope of 3/2
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 y intercept
Since we already know the slope of the line as 3/2, we can substitute it as m into the equation:
y=3/2x+b
Now let's find b
Since the equation of the line passes through (-6,9), we can use it to help solve for b
Substitute -6 as x and 9 as y:
9=3/2(-6)+b
Multiply
9=-9+b
Add 9 to both sides
18=b
Substitute 18 as b into the equation.
y=3/2x+18
Hope this helps!
Answer:
D. The intersection of the angle bisectors.
Step-by-step explanation:
The incenter is equidistant from each of the sides of the triangle. An angle bisector is the set of points equidistant from the sides, so the incenter is the place where the angle bisectors meet.
Let's start by moving all like terms to their own sides:
-18 = -3x + 6
3x = 6 + 18
3x = 24
x = 8