When you graph the three lines, the first two overlap. The third is parallel to those two.
What is the answer for 12
1 answer:
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Answer:
Step-by-step explanation:
We are asked to find the equation of a line in slope-intercept form. We are given a point and a slope, so we can use the point-slope formula.
In this formula, m is the slope and (x₁, y₁) is the point the line passes through. The slope of the line is 8 and it passes through the point (1, -6). Therefore,
- m= 8
- x₁= 1
- y₁= -6
Substitute these values into the formula.
Remember that 2 back to back subtraction signs are the same as an addition sign.
The line must be in slope-intercept form or y=mx+b (m is the slope and b is the y-intercept. We must isolate the variable y on one side of the equation. First, distribute on the right side of the equation. Multiply each term inside the parentheses by 8.
6 is being added to y. The inverse operation of addition is subtraction, so we subtract 6 from both sides of the equation.
The equation of the line in slope-intercept form is <u>y=8x-14</u>. The slope is 8 and the y-intercept is -14.
For a better understanding of the solution/explanation given here please go through the diagram in the file attached.
By definition, an angle bisector is a ray that divides an angle into two congruent angles.
In our question we have been given that GJ is the ray that is the angle bisector and that has been shown in the diagram.
Now, since, , therefore, the ray
will divide the original angle
into two congruent angles,
and
. Since, the division is equal, the values of both these angles will be half of the original angle. Thus, we will have:
Thus, the required value of
