Step-by-step explanation:
the typical line equation is
y = ax + b
a is the slope. it is the ratio of "y coordinate change / x coordinate change".
b is the y-intercept (the y value when x = 0) indicating the point, where the line crosses the y-axis.
going from one to the other point
x changes by +8 (from -6 to 2).
y changes by +4 (from 3 to 7).
so, the slope a is +4/+8 = 1/2.
the semi-finished equation is
y = 1/2 x + b
for b we use one of the points in the equation and since for b. let's go for (2, 7) :
7 = 1/2 × 2 + b = 1 + b
6 = b
so, the full equation is
y = 1/2 x + 6
Let x be the first number:
1st number: = x
2nd consecutive multiple of 6 = x+6
3rd consecutive multiple of 6 = x+12
4rth consecutive multiple of 6 = x+18
Their sum = 156 → x+(x+6)+(x+12)+(x+18) = 156
4x +30 = 156
4x = 120 and x = 30
The numbers are: 30,36,42,48
Answer:
No, the expression are not equivalent.
Step-by-step explanation:
No way to simplify 3 + y so we leave it as is. Let's look at 
If we expand using distributive property we get:
3 + y does not equal to 2 + y/3.
Simply find the difference between the intercept and axis of symmetry then apply it to the other side
-1 › 3 = 4
so
3 + 4 = 7
