1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
trasher [3.6K]
3 years ago
12

How do u Graph Y<-1/4x-1

Mathematics
1 answer:
siniylev [52]3 years ago
4 0

When you replace the comparison symbol (<) with an equal sign (=), you get the equation of a line in slope-intercept form:

... y = mx + b

where <em>m</em> is the slope, and <em>b</em> is the y-intercept.

Your equation has m = -1/4 and b = -1. To graph this line, find the point (0, -1) on the y-axis. To find another point on the line, you can use the slope value (rise/run = -1/4), which tells you the line "rises" -1 for each "run" of +4. That is, another point on the line will be 4 units to the right and 1 unit down, at (4, -2). Working in the other direction (to the left, instead of to the right), the -1/4 slope tells you the point 4 units left and 1 unit up (-4, 0) will also be on the line. <em>Draw a dashed line through these points,</em>

The dashed line you just drew is the boundary of the solution region. It is dashed because the line itself is not part of the solution. (Those points do not meet the requirement for "less than.")

Appropriate values of y are ones that are <em>less than</em> those on the line, so the solution region is indicated as being the half-plane <em>below</em> the line. You indicate this by shading the solution region. (See the attachment for an example of the way this can be graphed.)

_____

If the comparison is ≤ instead of <, then the line is solid (not dashed), indicating it is part of the solution region. If the comparison is > or ≥, then the shaded region is <em>above</em> the line, where y-values are greater than those on the line.

You might be interested in
‍plz help‍ I NEED IT RN PLZ
neonofarm [45]

Step-by-step explanation:

A quadrilateral has (four) sides and (four) angles

A pentagon has (five) sides and (five) angles

A cube (six) faces

hope this helps you.

8 0
2 years ago
What is the prime factorization of 40?<br> 1. 2x5<br> 2. 2x20<br> 3. 2x2x2x5<br> 4. 2x2x4x5
noname [10]

Answer: number 3 is the answer

3 0
3 years ago
Read 2 more answers
Can someone help me solve this?
Alex_Xolod [135]
The answer is C. Hope this helps
7 0
3 years ago
Read 2 more answers
What is the value of x in the equation 4(2x + 10) = 0?<br><br> −5<br> −7<br> 5<br> 7
Semenov [28]
4(2x + 10)=0
8x + 40 = 0
8x = -40
x = -5
7 0
3 years ago
Read 2 more answers
What is the slope of this non vertical line
bija089 [108]
The slope is 3/1. (Rise over run, rise 3 run 1)
5 0
3 years ago
Read 2 more answers
Other questions:
  • To factor 8x^2 + bx + 3, a student correctly rewrites the trinomial 8x^2 + px + qx + 3. What is the value of pq?
    10·1 answer
  • You buy 2 concert tickets. Each ticket costs $45.50. The shipping cost for the whole order is $12.00. Which equation represents
    9·2 answers
  • An office table consists of a rectangle 2 meters long by 1.5 meters wide and a semicircle 2 meters in diameter. What is the peri
    13·1 answer
  • Square root of 64y16
    6·2 answers
  • A formula for finding A, the area of a triangle is A=1/2bh, where b is the base of the triangle and h is the altitude to that ba
    5·1 answer
  • An ice cream cone is filled with vanilla and chocolate ice cream at a ratio of 2:1. If the diameter of the cone is 2 inches and
    15·1 answer
  • What is the y- intercept of 2x-5y=35 <br> ****please hurry****
    9·2 answers
  • 10.210 ÷ 10 (Long Division Work)
    7·2 answers
  • find an equation of the line with the given slope that passes through the given point. Write the equation in the form Ax+By=C m=
    6·1 answer
  • Write the expanded form of the expression<br> y(0.25 +6)
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!