What is the equation of the line that passes through (-3,-1) and has a slope of 2/5 ?

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Answer 1 · 2018-04-16T02:54:23

$=>y = 2/5x + 1/5$

Point-slope equation of a line:

$=> y_1 - y = m(x_1 - x)$

Now we solve for $y$ :

$=> -1 - y = (2/5)(-3-x)$

$=>-1-y = -6/5 -2/5x$

$=> -y = -1/5 - 2/5x$

$=> y = 1/5 + 2/5 x$

$=> color(blue)(y = 2/5x + 1/5 )$