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

Question

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

2 Answers

Impact of this question

5247 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-04-08T01:29:06

$y = - \frac{5}{8} x + \frac{17}{4}$ $y=-5/8x+17/4$

Explanation:

.

$m = - \frac{5}{8}$ $m=-5/8$

$(2, 3)$ $(2,3)$

The general equation of a straight line is:

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

$y = - \frac{5}{8} x + b$ $y=-5/8x+b$

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

$3 = - \frac{5}{8} (2) + b$ $3=-5/8(2)+b$

$3 = - \frac{5}{4} + b$ $3=-5/4+b$

$b = 3 + \frac{5}{4} = \frac{12 + 5}{4} = \frac{17}{4}$ $b=3+5/4=(12+5)/4=17/4$

The equation of the line is:

$y = - \frac{5}{8} x + \frac{17}{4}$ $y=-5/8x+17/4$

Answer 2 · 2018-04-08T01:30:39

$y = - \frac{5}{8} x + \frac{17}{4}$ $y = -5/8 x + 17/4$

Explanation:

usual equation is $y = m x + b$ $y= mx +b$
substitute the values
$3 = 2 (- \frac{5}{8}) + b$ $3= 2(-5/8) + b$
$3 = - \frac{5}{4} + b$ $3=-5/4 +b$
$3 + \frac{5}{4} = b$ $3+5/4=b$
$\frac{12 + 5}{4} = b$ $(12+5)/4 = b$
$\frac{17}{4} = b$ $17/4 = b$

Science

Math

Humanities

... and beyond

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

2 Answers

Explanation:

Explanation:

Related questions

Impact of this question