So the area of a triangle formula is a=hb times b /2 so 14 times 20 is 180 divide by 2 is 140
since it is perpendicular line you have to change thing signs of the equation.
x y
(-1,4)
replace the (-1) with x and (4) with y
y=1/2x+b
4=1/2(-1)+b
4=-1/2+b
4+1/2=b
9/2=b
therefore, the perpendicular line is y=1/2x+9/2
Answer:
Vertex:(0,8) Axis of Symmetry: x=0
Step-by-step explanation:
Answer:
slope of the line is -0.5
y-intercept is 13
Explanation:
The general formula of the linear equation is:
y = mx + c
where m is the slope and c is the y-intercept
1- getting the slope:
We are given the two points:
(6,10) representing (x1 , y1)
(12,7) representing (x2 , y2)
The slope of the line will be calculated as follows:
m = (y2-y1) / (x2-x1) = (7-10) / (12-6) = -3/6 = -0.5
The equation of the line now becomes:
y = -0.5x + c
2- getting the value of the y-intercept:
To get the value of the y-intercept (c), we will use any of the given points, substitute in the equation of the line and solve for c. I will use the point (6,10) as follows:
y = -0.5x + c
10 = -0.5(6) + c
10 = -3 + c
c = 13
Based on the above, the equation of the line would be:
y = -0.5x + 13
Hope this helps :)
