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5 votes
Which equation represents a line that you passes through (-2, 4) and has a slope of 2/5

2 Answers

3 votes
Should be y=2/5x+4.8

It’s been a minute since I’ve taken a math class. I’m sorry if I’m wrong but I’m 90% sure I’m right!
Which equation represents a line that you passes through (-2, 4) and has a slope of-example-1
User Gilad Peleg
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5.5k points
5 votes

Answer:


y=(2x)/(5)+(24)/(5)

Explanation:

Hello

to solve this , we can use the point-slope is the general form y-y₁=m(x-x₁) for linear equations. It emphasizes the slope of the line and a point on the line (that is not the y-intercept)


y-y_(0) =m (x-x_(0))\\ \\

Let


m=(2)/(5) \\\\P1(-2,4)\\x_(0)=-2\\y_(0) =4\\ \\

replacing


y-4=(2)/(5)(x-(-2))\\ \\y-4=(2x)/(5)+(4)/(5)\\y=(2x)/(5)+(4)/(5)+4\\y=(2x)/(5)+(24)/(5)

Have a great day

User Gerardo Tarragona
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5.0k points