Answer:
Perpendicular would be -7
Parallel would be 7
Because m = slope and the m is connected to the x (mx)
Hey there could you please show an image of said graphs!
Answer:
Rate of change/slope: 35
Miles at 10 hours: 350
Step-by-step explanation:
We can find the rate of change or the slope by using the slope formula below:
m = (y2-y1)/(x2-x1) where m is the slope
To find the slope, we can choose any two points from the table. I will choose (2,70) and (4,140)
m = (140-70)/(4-2)
m = 70/2
m = 35
The rate of change is 35 miles per hour
To find the miles at 10 hours, we can use the equation y = mx + b which is the equation of the line in slope intercept form. However, we will need to find the value of b. To do that, we can plug in any point from the table to find the value of b. I'll choose (2,70).
y = mx + b
70 = 35(2) + b
70 = 70 + b
b = 0
So the equation of the line would be y = 35x. Using this equation, we can find the number of miles at 10 hours:
y = 35(10)
y = 350
The number of miles at 10 hours is 350 miles
You have the correct graph. Plug in y = 0 and solve for x to get x = -3. Do the same for x = 0 and solve to get y = -3.
x intercept = -3 which is the point (-3,0)
y intercept = -3 which is the point (0,-3)
Nice job on getting the correct graph with the correct points.
