Science

Math

Humanities

... and beyond

Socratic Meta
Featured Answers

Topics

What are the intercepts of $2x-3y=-7$ ?

1 Answer

Apr 5, 2016

x-intercept: $-7/2=-3 1/2$

y-intercept: $7/3 = 2 1/3$

Explanation:

The x-intercept is the value of $color(blue)(x)$ when $color(red)(y=0)$
$color(white)("XXX")2color(blue)(x)-3(color(red)(0))=-7$

$color(white)("XXX")2color(blue)(x)=-7$

$color(white)("XXX")color(blue)(x)=-7/2$

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

The y-intercept is the value of $color(red)(y)$ when $color(blue)(x=0)$
$color(white)("XXX")2(color(blue)(0))-3(color(red)(y))=-7$

$color(white)("XXX")-3(color(red)(y))=-7$

$color(white)("XXX")color(red)(y) = 7/3$

Related questions

See all questions in Intercepts and the Cover-Up Method

Impact of this question

3459 views around the world

You can reuse this answer
Creative Commons License