What is the solution to this equation x/-3=8 a.-18 b.2 c.18 d.-2
1 answer:
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Answer:
<u>m</u><u> </u><u>is</u><u> </u><u>-</u><u>2</u><u> </u><u>and</u><u> </u><u>c</u><u> </u><u>is</u><u> </u><u>-</u><u>1</u>
Step-by-step explanation:
• Let's first phrase out the general equation of a line
- m is the slope
- c is the y-intercept
[ remember that a general line equation must be in slope - intercept form as shown above ]
• from our question, we are given the equation;
• let's make y the subject in order to make the equation in slope - intercept format.
→ <em>r</em><em>e</em><em>m</em><em>e</em><em>m</em><em>b</em><em>e</em><em>r</em><em> </em><em>t</em><em>o</em><em> </em><em>a</em><em>p</em><em>p</em><em>l</em><em>y</em><em> </em><em>"</em><em>s</em><em>u</em><em>b</em><em>j</em><em>e</em><em>c</em><em>t</em><em> </em><em>m</em><em>a</em><em>k</em><em>i</em><em>n</em><em>g</em><em> </em><em>k</em><em>n</em><em>o</em><em>w</em><em>l</em><em>e</em><em>d</em><em>g</em><em>e</em><em>"</em>
• The above boxed equation is now a general equation. Let's extract out slope, m and y-intercept, c
Answer:
The point representing the y-intercept is: (0, -3)
The black dot represents the y-intercept on the attached graph. It is very clear at y = 0, x = -3.
The point representing the x-intercept is: (10.5, 0)
The red dot represents the x-intercept on the attached graph. It is very clear at x = 0, y = 10.5
Step-by-step explanation:
Given the linear equation
-2x+7y=-21
Determining the y-intercept
We know that the value of y-intercept can be determined by setting x = 0, and determining the corresponding value of y.
substituting x = 0 in the equation
-2x+7y=-21
-2(0) + 7y = -21
0+7y = -21
7y = -21
divide both sides by 7
7y/7 = -21/7
y = -3
Therefore, the point representing the y-intercept is: (0, -3)
The black dot represents the y-intercept on the attached graph. It is very clear at y = 0, x = -3.
Determining the x-intercept
We know that the value of x-intercept can be determined by setting y = 0, and determining the corresponding value of x.
substituting y = 0 in the equation
-2x+7y=-21
-2x+7(0) = -21
-2x + 0 = -21
-2x = -21
divide both sides by -2
-2x / -2 = -21 / -2
x = 21/2
x = 10.5
Therefore, the point representing the x-intercept is: (10.5, 0)
The graph of the linear equation containing the y-intercept (0, -3) and x-intercept (10.5, 0) is shown and attached below.
The red dot represents the x-intercept on the attached graph. It is very clear at x = 0, y = 10.5
Please check the attached graph.
