Question $1$ : Line $A B$ contains points $A (0, 1)$ and $B (1, 5)$ . The slope of line $A B$ is ... ? $

Open in App

Solution

The slope of line $A B$ is $4$ .
Explanation:
Use the formula for slope.
$m = \frac{y_{1} - y_{2}}{x_{1} - x_{2}}$
In this case, the two points are $(0, 1)$ and $(1, 5)$ .Substituting the values:
$m = \frac{1 - 5}{0 - 1}$
$m = \frac{- 4}{- 1}$
$m = 4$
$∴$ the slope of line $A B$ is $4$ .

Suggest Corrections

Similar questions

Q. A straight line passes through points

A (2, - 4)

and

B (3, - 2)

. find the
I) slope of the line
ii) Equation of the line

A B

iii) value of

p

, if

A B

passes through the point

(P + 1, p - 3)

The vertices of a $Δ$ ABC are A (4, 6), B (1, 5) and C (7, 2). A line is drawn to intersect sides AB at D, such that AD/AB= $\frac{1}{4}$ . Calculate the area of the $Δ$ ADC.

Q. A straight line passes through the points A(2, -4) and B(5, -2).
Find the slope of the line AB.

A and B are two points on the x-axis and y-axis respectively. P(2, -3) is the mid point of AB. Find the

(i) co-ordinates of A and B

(ii) slope of line AB

(iii) equation of line AB.

Q. Question 6
The vertices of triangle ABC are A (4, 6), B (1, 5) and C (7, 2). A line is drawn to intersect sides AB and AC at D and E respectively, such that

\frac{A D}{A B} = \frac{A E}{A C} = \frac{1}{4}

. Calculate the area of triangle ADE and compare it with area of triangle ABC.

Join BYJU'S Learning Program

Question 1: Line AB contains points A(0,1) and B(1,5). The slope of line AB is ... ? $

The slope of line AB is 4.Explanation:Use the formula for slope.m=y1−y2x1−x2In this case, the two points are (0,1) and (1,5) .Substituting the values:m=1−50−1m=−4−1m=4∴ the slope of line AB is 4.

Question $1$ : Line $A B$ contains points $A (0, 1)$ and $B (1, 5)$ . The slope of line $A B$ is ... ? $

The slope of line $A B$ is $4$ .
Explanation:
Use the formula for slope.
$m = \frac{y_{1} - y_{2}}{x_{1} - x_{2}}$
In this case, the two points are $(0, 1)$ and $(1, 5)$ .Substituting the values:
$m = \frac{1 - 5}{0 - 1}$
$m = \frac{- 4}{- 1}$
$m = 4$
$∴$ the slope of line $A B$ is $4$ .