Step-by-step explanation:
The line will have the same slope as the given line, which is m = 3. Therefore, the equation of the line in its slope-intercept form is
Next we need to solve for b by plugging in the coordinates of the given point:
So the equation of the line is
First you must remember that: An isosceles triangle consists of a vertex angle and 2 CONGRUENT base angles.
subtract 180-24
156/2
=78
CHECK:
25+78+78=180
Answer: x2 + 4x + 11
Step-by-step explanation:
(x + 2)2 + 7
(x+2)(x+2) + 7
X2 + 2x + 2x + 4 + 7
x2 + 4x + 11
Equation of a line:
m = gradient: The difference between two y points and two x points.
c = y-intercept: Where the line crosses the y-axis (x=0)
You have:
so you are missing the m and the c.
To calculate m find two y coordinates -you have (12,
<u>7</u>) and (0, <u>
1</u>)- and subtract them. Then divide this by the subtracted values of the x coordinates -you have (<u>
12</u>, 7) and (<u>
0</u>, 1)- This gives:
To calculate the c, you just see where the line crosses the y-axis. Because you have the point (0, 1), you know that when x=0, y=1. Because x=0 is on the y-axis, you can tell that the line passes through y=1. This makes your c = 1:
When you plug these values into the equation you get your answer:
