Find an equation for each line
1 answer:
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Answer:
The correct option is C).
Figure show the line with slope of -1/2 and a y-intercept of 3
Step-by-step explanation:
The equation of line is given by y=mx+c.
Where m is slope and c is y-intercept.
Given that line has slope
m= and c=3
Thus equation of line will be
y=mx+c.
y=
To plot the line we need at least two points
Take x=0
y=
y=
y=3
The required point is A(0,4)
Take x=2
y=
y=2
The required point is B(2,2)
Using this points to graph the given equation of line
Figure show the line with a slope of -1/2 and a y-intercept of 3
The correct option is C).
<h2>Solving Equations</h2>
To solve linear equations, we must perform inverse operations on both sides of the equal sign to <em>cancel values out</em>.
- If something is being added to x, subtract it from both sides.
- If something is being subtracted from x, add it on both sides.
- Same with multiplication and division. If x is being divided, multiply. If x is being multiplied, divide.
We perform inverse operations to<em> combine like terms</em>. This means to get x to one side and everything else on the other.
<h2>Solving the Questions</h2><h3>Question 1</h3>Because 7 is being added to x, subtract it from both sides:
Because x is being multiplied by 5, divide both sides by 5:
Therefore. .
Here, we can group all the x values on the left side of the equation. Subtract 5x from both sides:
To isolate x, subtract 4 from both sides:
Divide both sides by 2:
Therefore, .