First, let's use the Distributive Property to make our equation easier to solve. Remember that the Distributive Property says the following:
Using this, we can multiply the 7 out to the 
and 3. This gives us:
Now, let's solve for :
We can see that there is one solution for this equation because is equal to one definite value after solving. Thus, our answer is A, one solution.
Answer:
D
Step-by-step explanation:
okay so first I wanted to see which graphs had the y-intercept of +1 (b) which in coordinates would be (0, 1). Since only B and D had this, I already limited my options to those two choices. Now, you could find two even points (even meaning they evenly align with the grid of the graph), but I decided to do rise/run. If the slope is 2 like in the equation, it would be rise 2 run 1. I tried this with B, but the line was not steep enough. Rather, its slope was actually 1. To confirm that D was correct, I tried to rise 2 and run 1 (go up by 2 amd then right by 1) and it worked.
Step-by-step explanation:
3. Slope is postive
x1=6
x2=3
y1=10
y2=6
m=6-10/3-6
m=4/3
y=mx+b find b
10=4/3*3+b
10=4+b
b=6
y=4/3x+b
4.slope is zero
y=b
Y=3
It would be D-limited resources.
Answer:
The slope-intercept form of the equation of the line is:
y = 2/3x + 2
Step-by-step explanation:
The slope-intercept form of the line equation
y = mx+b
where
Given the points
(x₁, y₁) = (0, 2)
(x₂, y₂) = (3, 4)
Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [4 - 2] / [3 - 0]
= 2 / 3
Thus, the slope of the line = m = 2/3
We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.
From the graph, it is clear
at x = 0, y = 2
Thus, the y-intercept b = 2
now substituting m = 2/3 and b = 2 in the slope-intercept form
y = mx+b
y = 2/3x + 2
Therefore, the slope-intercept form of the equation of the line is:
y = 2/3x + 2
