Answer:
y=0.75x+3.75
Step-by-step explanation:
The slope is
![\frac{6 - 4.5}{3 - 1} = \frac{3}{4}](https://tex.z-dn.net/?f=%20%20%5Cfrac%7B6%20-%204.5%7D%7B3%20-%201%7D%20%20%3D%20%20%20%5Cfrac%7B3%7D%7B4%7D%20)
Substituting into point-slope form,
y - 6 = 0.75(x - 3)
y - 6 = 0.75x - 2.25
y = 0.75x + 3.75
Answer:
y = 2x + 4
Step-by-step explanation:
Two points on this line are (-2, 0) and (0, 4). Going from the first to the second, x increases by 2 (this is the 'run') and y increases by 4 ('rise').
Thus, the slope of this line is m = rise / run = 4/2 = 2
Using the slope-intercept formula, we get y = mx + b = 2x + b
Let x = -2 and y = 0 to find b: 0 = 2(-2) + b, so b = 4, and the desired equation is then:
y = 2x + 4
Answer:(2,-1)
Step-by-step explanation: Because you go across the x-axis first and that is your first number(2) and then you look at your y-axis(-1)
Answer:
height of the tree is 30 feet
Step-by-step explanation:
a tree casts a shadow 42 feet long . at the same time, a person 5 feet tall casts a shadow 7 feet long.
shadow of a 5 feet tall person is 7 feet long
Let x be the height of the tree
shadow of a 42 feet tree is x feet long
Make a proportion
![\frac{x}{42} =\frac{5}{7}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B42%7D%20%3D%5Cfrac%7B5%7D%7B7%7D)
cross multiply
![7x=(42)(5)](https://tex.z-dn.net/?f=7x%3D%2842%29%285%29)
![7x=210](https://tex.z-dn.net/?f=7x%3D210)
divide by 7 on both sides
x=30
So height of the tree is 30 feet