Have a query? Ask a Tutor!!

Access to best educators and exclusive paper discussions

Offsite Campus Turito Championship

Can’t find what you’re looking for?

Our tutors are from top schools around the world, and they are waiting for you 24/7, anytime, anywhere.

Homework- One to One Solutions
Understand concepts to solve better
Get your doubts solved instantly

Mathematics

Grade-8

Easy

Question

What is the slope of the line passing through points (x, y) and (p, q)?

$\frac{p - x}{q - y}$
$\frac{q - y}{p - x}$
$\frac{q - p}{y - x}$
$\frac{x - y}{q - p}$

hint Hint:

The slope of a line can be defined as the change in y coordinates of any 2 points on that line corresponding to the change in the x coordinates of those 2 points. This is generally referred to as the rise to run ratio of the given line i.e. how much did the y-coordinates rise vis-a-vis how long a distance was covered by the x-coordinates.
Slope = m = rise / run = y2-y1 / x2-x1

The correct answer is: $fraction numerator q minus y over denominator p minus x end fraction$

GIVEN-
Given line passes through points (x,y) and (p,q).
TO FIND-
Slope of the given line.
SOLUTION-
We know that the given line passes through the points (x,y) and (p,q).
Hence, x1 = x, y1 = y, x2 = p and y2 = q.
∴ Slope = m = y2-y1 / x2-x1
∴ Slope = m = (q - y) / (p - x)
FINAL ANSWER-
Option 'b' i.e. '(q - y) / (p - x)' is the correct answer to the given question.

Related Questions to study

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.