Question

Which equation represents a line that passes through (-2, 4) and has a slope of 2/5?
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Answer 1

It’s represent as positive association

Answer 2

Answer: The required equation of the line is
`2x-5y+24=0.`

Step-by-step explanation: We are given to find the equation that represents a line passing through the point (-2, 4) and has a slope of
`(2)/(5).`

We know that

the equation of a straight line passing through the point (a, b) and having slope m is given by

`y-b=m(x-a).`

For the given line, we have

`m=(2)/(5),~~~(a,b) = (-2,4).`

Therefore, the equation of the line is given by

`y-4=(2)/(5)(x-(-2))\\\\\\\Rightarrow 5(y-4)=2(x+2)\\\\\Rightarrow 5y-20=2x+4\\\\\Rightarrow 2x-5y+24=0`

Thus, the required equation of the line is
`2x-5y+24=0.`