Step-by-step explanation:
we see 2 confirmed points with whole integers as coordinates.
(-2, -1) and (1, 2)
the general equation for a line is
y = ax + b
a is the slope expressed as y/x ratio indicating how many units y changes , when x changes for a certain amount of units when going from one point to another.
so, when going from (-2, -1) to (1, 2)
x changes by +3 units (from -2 to 1)
y changes by +3 units (from -1 to 2)
so, the slope (a) is 3/3 = 1
b is the y-intercept (the y value when x=0, so, the point where the line crosses the y-axis).
our equation looks now like this
y = x + b
to get b we use the coordinates of one of the points as x and y. e.g. (1, 2) :
2 = 1 + b
b = 1
the full equation is
y = x + 1
Answer:
(5,-4)
Step-by-step explanation:
Answer:
12 and 6
Step-by-step explanation:
12 + 6 = 18
12 - 6 = 6
A=first term
n=number of terms
d=common difference
Formula: a+(n-1)d
10th term;
a=-10
n=10
d=-2
-10+(10-1)-2
-10+(9)-2
-10+-18
-10-18
10th term= -28
A.P= -10,-12,-14,-16,-18,-20,-22,-24,-26,-28,...
Answer:
6
Step-by-step explanation:
1. add 14 to both sides
2. write x=30-4x
3. add 4x to both sides
4. write 5x=30
5. divide by 5 on both sides
6. x=6
