Question

If the straight line y = mx + c passes through the points (2, 4) and (–3, 6), find the values of m and c.

Solution

Correct option is

 

Since (2, 4) lies on y = mx + c

  

Again (–3, 6) lies on y = mx +   

  

Solving (i) and (ii), we get  

           

SIMILAR QUESTIONS

Q1

 

Find whether the points (–a, –b), [–(+ 1)a, –(s + 1)b] and [(t – 1)a, (t – 1)b] are collinear?

Q2

 

For what value of k the points (k, 2 – 2k), (–k + 1, 2k) and (–4 – k, 6 – 2k) are collinear?

Q3

Find the angle between the lines joining the points (0, 0), (2, 3) and (2, –2), (3, 5).

Q4

The angle between two lines is  and the slope of one of them is . Find the slope of the other line.

Q5

 

A line passes through the points A(2, –3) and B(6, 3). Find the slopes of the lines which are  

1. parallel to AB

2. perpendicular to AB

Q6

 

Find the equation of the straight line parallel to y-axis and at a distance  

(i).3 units to the right

(ii). 2 units to the left

Q7

 

Find the equation of the straight line parallel to x-axis and at a distance

(i). 5 units above the x-axis

(ii). 9 units below the x-axis

Q8

 

Find the equation of the straight line which passes through the point (2, –3) and is  

1. parallel to the x-axis

2. perpendicular to the x-axis

Q9

Find the equation of a line which is equidistant from the lines .

Q10

 

What are the inclination to the x-axis and intercept on y-axis of the line 

              ?