Answer:
Equation in slope-intercept form is 
Step-by-step explanation:
We need to write equation in slope-intercept form to represent the relationship shown in the table.
The general equation of slope-intercept form is: 
where m is slope and b is y-intercept.
Finding slope using point (-2,-6) and (0,0)
The formula used is: 
We have 
Putting values and finding slope

Using slope m= 3 and point (-2,-6) we can find y-intercept

So, we have y-intercept b =0
Equation in slope-intercept form having slope m= 3 and y-intercept b =0 is:

So, Equation in slope-intercept form is 
Answer:
x=28
Step-by-step explanation:
cos60°=14/x
0.5=14/x
x=14/0.5
x=28
Answer:
( x-6)^2 -17
Step-by-step explanation:
X^2 - 12x + 19
we need it in given below form
(x + a)^2 + b
we know that

lets convert that in same form
X^2 - 12x + 19 = x^2 + 2(-6)x + 19
comparing x^2 + 2(-6)x to x^2 + 2ax
we have a -6
now
(x-6)^2 = x^2 + 2(-6)x + 36
36 is missing in the x^2 + 2(-6)x + 19 hence to get that
we add and subtract 36 in the above equation
so we have
x^2 + 2(-6)x + 19 + 36 -36
rearranging it \
(x^2 + 2(-6)x + 36) -36 + 19 (x^2 + 2(-6)x + 36 =( x-6)^2)
=>( x-6)^2 -17
comparing the above equation to
(x + a)^2 + b
we have a = -6
b = -17
( x-6)^2 -17