When writing an equation of a line, keep in mind that you ALWAYS need two pieces of information when you go to write an equation:
1. ANY point on the line
2. Slope (m)
3. Y-intercept (b)
Once you have these two pieces of information, you plug the x and y values from your point and the slope (m) value into the slope-intercept form, y = mx + b.
Start by solving for the slope of each line. We need two ordered pairs (x, y) from each line to solve for the slope:
Offer A:
(0, 400) and (80, 700)
Let (x1, y1) = (0, 400)
(x2, y2) = (80,700)
m = (y2 - y1)/(x2 - x1)
m = (700 – 400)/(80 – 0) = 300/80 = 15/4
Therefore, the slope (m) for Offer A = 15/4
Next, we need the y-intercept. The y-intercept is the y-coordinate of the point where the graph of the linear equation crosses the y-axis. The y-intercept is also the value of y when x = 0. One of the points we used for solving the slope for Offer A reflects the description for the y-intercept, which is point (0, 400). The y-coordinate is 400–this is the y-intercept of the line.
Now, we can establish the linear equation for Offer A: y = 15/4x + 400
Do the same steps for the other offer:
Offer B:
(0, 500)) and (100,900)
Let (x1, y1) = (0, 500)
(x2, y2) = (100,900)
m = (y2 - y1)/(x2 - x1)
m = (900 - 500)/(100 – 0) = 400/100 = 4
Therefore, the slope for Offer B is 4.
Next, we need the y-intercept. For Offer B, the line crosses at point (0, 500). The y-coordinate, 500 is the y-intercept (b) of the line.
The linear equation for Offer B is:
y = 4x + 500
**NOTE: please double-check the coordinates that I used for solving the slopes of each line before using my inputs. I had a slight difficulty going through the coordinates of your graph because it’s a bit blurry (using my phone to write this post).
Please mark my answers as the Brainliest if you find my explanations helpful :)
Answer:
D
Step-by-step explanation:
I hope this correct and have a great day
Answer:
Refer the attached graph.
Step-by-step explanation:
Given : Time (h) Distance (km) able displaying Time in hours in one column and Distance in kilometers in the other. The time column contains 1, 3, 6, and 9. The distance column contains 2, 6, 12, and 18.
To plot : The points on the coordinate plane.
Solution :
Time is independent variable so it is taken on x-axis.
Distance is taken on y-axis.
x y
1 2
3 6
6 12
9 18
When we plot these points in the coordinate plane, we get a linear equation.
The linear equation form is 
Refer the attached graph.
I hope this helps you
-8x+2. (4x+6)@=12
-8x+8x+12=12
12=12
0=0
Answer:
2
Step-by-step explanation:
basically logarithms are like reverse exponents
log7, 49 is basically asking 7 to the what gets you 49
because of that its 2 because 7^2 gets you 49
