What is equation of the line that is parallel to the line of the y-1=4(x+3) and passes through the the point (4,3)
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Answer:
Step-by-step explanation:
To start, you need to find the equation of both of these lines. For the orange one, the slope can be found with the points (-5,0) and (0,-4), where there is a drop of 4 for a run of 5. This is a slope of -4/5, and a y-intercept of -4. For the purple line, you can use the points (-2,0) and (0,1), where there is a rise of 1 for a run of 2 or a slope of 1/2 and a y intercept of 1. Therefore, the two equations are:
You can now set them equal to each other:
Add 4 to both sides:
Multiply both sides by 2:
Multiply both sides by 5:
Subtract 5x from both sides:
Divide both sides by -13:
Hope this helps!