Answer:
<em>The zero of the line is (2,0)</em>
Step-by-step explanation:
The equation of a line passing through points (x1,y1) and (x2,y2) can be found as:
We are given the points (1,-3) and (4,6). Substituting:
Operating:
The zero of this line can be found by making y=0 and solving for x:
0+3=3(x-1)
3=3x-3
Adding 3:
6=3x
Solving:
x = 2
The zero of the line is (2,0)
Answer:
8
Step-by-step explanation:
Answer:
148 degrees
Step-by-step explanation:
The angles are supplementary so if you subtract 32 from 180, you get <em><u>148 degrees. </u></em>
Answer:
y = 10/3x + 20
Step-by-step explanation:
First, we need to find the slope of the function. We can do that by using two points and inserting them into the slope formula. It can be any two but I'll just pick (3, 30) and (6, 40).
m = y₁ - y₂ / x₁ - x₂
m = 30 - 40 / 3 - 6
m = -10/-3
m = 10/3
Now we know the slope is 10/3.
In slope-intercept form, the y-intercept is the constant at the end of the equation. The table of values tells us that the y-intercept is located at (0, 20). So the equation of the linear function is y = 10/3x + 20.
