What is the equation of the line with slope m= 1/3 m=13 that passes through (-7/15,-5/24) (715,524)?

2 Answers
Feb 14, 2016

y=x/3-19/360y=x319360

Explanation:

y=mx+cy=mx+c

-5/24=1/3 * (-7/15) + c524=13(715)+c

c=-5/24+1/3*7/15c=524+13715

c=-19/360c=19360

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Let the desired equation be

y=mx+cy=mx+c
To find out cc, insert values of the m, x and ym,xandy coordinates from the given point.
-5/24=(1/3)*(-7/15)+c524=(13)(715)+c

=>c=-5/24+1/3*7/15c=524+13715

=>c=-5/24+7/45c=524+745
=>c=(-5*15+7*8)/360c=515+78360
=>c=(-75+56)/360c=75+56360
=>c=-19/360c=19360

Feb 14, 2016

y=1/3x-19/360y=13x19360

Explanation:

The first answer is correct, but I would like to provide an alternative solution using the point-slope form.

Point-slope form:

Given a point (x_0,y_0)(x0,y0) and a slope mm, the equation of the line is:

" "y-y_0=m(x-x_0) yy0=m(xx0)

You just have to substitute everything.

Solution

[1]" "y-y_0=m(x-x_0)[1] yy0=m(xx0)

[2]" "y+5/24=1/3(x+7/15)[2] y+524=13(x+715)

[3]" "y+5/24=1/3x+7/45[3] y+524=13x+745

[4]" "y=1/3x+7/45-5/24[4] y=13x+745524

[5]" "y=1/3x+7/45-5/24[5] y=13x+745524

[6]" "y=1/3x+(56-75)/360[6] y=13x+5675360

[7]" "color(blue)(y=1/3x-19/360)[7] y=13x19360