Which line has a slope of -5/8 and goes through the point [2,3]?

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Answer 1 · 2018-04-08T01:29:06

$y=-5/8x+17/4$

.

$m=-5/8$

$(2,3)$

The general equation of a straight line is:

$y=mx+b$ , where $m$ is the slope and $b$ is the $y$ -intercept.

$y=-5/8x+b$

Now, we can use the coordinates of the point in this equation to solve for $b$ :

$3=-5/8(2)+b$

$3=-5/4+b$

$b=3+5/4=(12+5)/4=17/4$

The equation of the line is:

$y=-5/8x+17/4$

Answer 2 · 2018-04-08T01:30:39

$y = -5/8 x + 17/4$

usual equation is $y= mx +b$
substitute the values
$3= 2(-5/8) + b$
$3=-5/4 +b$
$3+5/4=b$
$(12+5)/4 = b$
$17/4 = b$