Write the equation of a line that is perpendicular to y=-0.3x+6 and that passes through the point (3, -8)

Question

rayep12 · Answer

@mathmate @sammixboo @TheSmartOne

rayep12 · Answer

@.Sam.

amruta1202 · Answer

Line is perpendicular to the given line means its slope is -1/m , if we consider m as the slope of given line

thesmartone · Answer

perpendicular lines have the opposite reciprocal slopes

what will the slope of the perpendicular line be if the slope of the line is -0.3?

amruta1202 · Answer

So -0.3 is the slope 
Now u have the slope of the required line and a point through which it passes

rayep12 · Answer

10/3? i think

amruta1202 · Answer

By slope point form u can easily find the eqn

amruta1202 · Answer

Oops sorry its 10/3

thesmartone · Answer

so now we have

y = (10/3)x + b

we need to plug in the point (3, -8) and find the value of b, the y-intercept

rayep12 · Answer

okay

amruta1202 · Answer

y-y1=m'(x-x1)
Where m' is 10/3 the slope of required line and x1 and y1 are the co-ordinates of the given points

amruta1202 · Answer

*point

rayep12 · Answer

so its y=10/3x -18?

thesmartone · Answer

correct, or you can use what amruta gave you. That's one step shorter. Not sure which form they want you to give it in.

amruta1202 · Answer

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