Answer:
(a) 
(b) 
(c) 
Step-by-step explanation:
The formula for calculating the equation of line in point - slope form is given as :
where m is the slope
Given from the question :
m = - 4
= 2
= 6
Substituting into the formula , we have :
Therefore :
(a) the equation of the line in point - slope form is
(b) to write it in slope - intercept form , we will make y the subject of the formula , which will give :
(c) the equation of line in standard form is ;
For the answer to the question above,
The slope of the line of the line is calculated through the equation,
m = (y2 - y1) / (x2 - x1)
Using the first two points in the given,
m = (-7 - 9) / (-12 - 8) = 4/5
The line parallel to this has also a slope of 4/5. Through the point-slope form, the equation of the second line is,
y - -15 = (4/5)(x - -5)
Simplifying gives the answer of,
y = (4/5)x -11
Eliminating the fraction,
5y = 4x - 55
I hope my answer helped you.
Answer:
Third bar graph.
Step-by-step explanation:
Given : 5x + 7.5 = 15.
To find : Which bar diagram represents the equation.
Solution : We have given 5x + 7.5 = 15
In the equation we can see sum of 5x and 7.5 is 15 .
By the bar graph combination box of 5x and box of 7.5 is equal to the box of 15.
Then Third bar graph represent the equation .
Two pink boxes of 5x and 7.5 and one blue box of 15.
Therefore, Third bar graph.
