What is the equation of the line that is parallel to the given line and passes through the point (-3, 2)?
2 answers:
The answer is D. 4x + 3y = -6
I first found the slope using the slope formula. Then I plugged in the values of the given coordinate and the slope I found into the point slope form equation, then I simplified. Then I manipulated the equation to get x and y on the right side, and the constant on the left side. Finally, I multiplied both sides by 3 to get rid of the fraction.
I first found the slope using the slope formula. Then I plugged in the values of the given coordinate and the slope I found into the point slope form equation, then I simplified. Then I manipulated the equation to get x and y on the right side, and the constant on the left side. Finally, I multiplied both sides by 3 to get rid of the fraction.
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Some times it's really very easy to answer the problem just by looking over the given problem.
For the given graph, we need to observe some(or any) point on the graph that can conclude anything to answer the given problem.
Generally we observe x or y-intercepts of the graph first.
Let us observe the y-intercept of the given graph, because we can see a clear picture of y-intercept there.
By looking on the graph, we can see y-intercept is at -1.
Note: y-intercept is a point on y-axis where value of x is 0.
Now let us observe the given functions in the given options.
First option: If we plug x=0 in the given function, we get f(0)=0.
So, y-intercept for first option is 0.
Second option: If we plug x=0, we get a negative -1 inside radical. Cube root of -1 is -1. On multiplying by -1 we get +1.
So, y-intercept for second option is 1.
Third option : If we plug x=0 in that function, we get 0-1 = -1.
So, the y-intercept for third function is -1.
Therefore, function in third option is the correct function for given graph.
Therefore, third option is correct option.