Question

13. Find the equation of the line passing through the point (2,-5) and making an intercept of -3 on the y-axis.​

Answer 1

Step-by-step explanation:

Given, a line equation passes through point (2,−5) and makes a y- intercept of −3

We know that,

The equation of line is y=mx+c, where m is the slope and c is the y intercept

So, we have

y=mx−3

Now, this line equation will satisfy the point (2,−5)

−5=m(2)−3

−5=2m−3

2m=3−5=−2

⇒m=−1

Hence, the equation of the line is y=−x+(−3)⇒x+y+3=0

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