Answer:
y = -2 when x = 0
Step-by-step explanation:
We are given points on the line such as ( 2, 2) and (6, 10) so we can find the equation of the line then find point (x=0, y=?).
General equation of the line is y = mx +b, where m is the slope and
b is y-intercept (where the line crosses the y-axis)
The slope m = (y2-y1)/ (x2-x1) = (10-2)/(6-2) = 8/4 = 2
Now the equation is y = 2x +b
To find b we substitute any of the points that are on the line, for example
(x=2, y=2) in the equation 2=2*2+b; 2-4 =b; -2 = b
The equation is y=2x -2
If x= 0 then y=2*0 -2; y = -2
Answer:
Equation: 154 = 158n - 132 n = 11/6
Step-by-step explanation:
Let's start by converting this into an equation. Some keywords to look for are "is" which means an equal sign (=), "product" which is multiplication (*), and "decreased" which means a minus sign (-):
So this is our equation: 154 = 158n - 132
Now we have to solve for n:
First, we add 132 to both sides to isolate the n more:
286 = 158n
Then to completely isolate the n, we divide both sides by 158
286
------ = n
156
<u>n = 11/6, final answer.</u>
Answer:
39.5 degrees
Step-by-step explanation:
180-101=79
79/2=39.5
Answer:
y=-5/2+0
Step-by-step explanation:
add 2 to both side
y-2(+2)=-5/2(x-2(+2))
y=-5/2x+0
Slope-intercept form: y = mx + b
[m is the slope, b is the y-intercept or the y value when x = 0 ---> (0, y) or the point where the line crosses through the y-axis]
To find the slope, you use the slope formula:
And plug in the two points
(-6, 2) = (x₁ , y₁)
(1, 16) = (x₂ , y₂)
[two negatives cancel each other out and become positive]
m = 2 Now that you found m, plug it into the equation
y = mx + b
y = 2x + b To find b, plug in one of the points into the equation
(-6, 2)
y = 2x + b
2 = 2(-6) + b
2 = -12 + b Add 12 on both sides
14 = b
(1, 16)
y = 2x + b
16 = 2(1) + b Subtract 2 on both sides
14 = b
Now that you found b, plug it into the equation
y = 2x + 14
