Answer:
Slope: -3, apparent point: (-1, -2)
Step-by-step explanation:
Point-slope form means the equation of a line is given in the form of y - y1 = m(x - x1), where x1 and y1 are coordinates of a point that lies on the line and m is its slope. Keeping this in mind while looking at the given equation, you can see that -3 is where m goes, meaning the slope is -3. You can also see that 1 and 2 are in the places where - x1 and - y1 go (don't forget those minus signs!) so you take those two and make them an ordered pair for your apparent point of (-1, -2).
Answer:
The answer is D.
Step-by-step explanation:
Each Monday, Luke spends $5 ($3 for the muffin, $2 for the juice). To figure out how much he spends in 6 weeks, you multiply $5 by 6. Hope this helps! :)
Answer:
0 = 0 => Infinitely many solutions
Step-by-step explanation:
For this case, the first thing to do is find the equation of the line correctly and then see which of the inequalities represents the shaded region.
We have then:
5x - y = 2
For x = 0
5 (0) - y = 2
-y = 2
y = -2
For y = 0
5x - 0 = 2
5x = 2
x = 2/5 = 0.4
Therefore the line is:
5x - y = 2
Then, we see that for the point (0, 0)
5x - y ≥ 2
5 (0) - (0) ≥ 2
0 ≥ 2
The inequality is not met, which is correct because this point is not part of the shaded region.
Answer:
The inequality that best is represented by the graph if:
5x - y ≥ 2
Answer:
slope intercept form is option 3 - 
slope intercept form is option 4 - 
Step-by-step explanation:
Given : The system of inequalities
and 
To find : Which shows the given inequalities in slope-intercept form?
Solution :
The slope intercept form is
where m is the slope and b is y-intercept.
First inequality is 
Now we take y to one side by subtracting 4x both side,

Divide both side by 5,

Multiply both side by -1,



So, Option 3 is correct.
Second inequality is 
Now we take y to one side by adding x both side,

Multiply both side by 2,



So, Option 4 is correct.