Question

What is the slope of the line shown on the graph?

Answer 1

Do U know what are the co-ordinates the point U will use ?

Answer 2

Use the slope equation: \[m = {{y_{2} - y_{1}} \over {x_{2} - x_{1}}}\]
You have the points in the graph, so just substitute them into that equation.

Answer 3

In my view,, there are two points (-5,0) and (0,2).... NOw use the two-point form to get an equation... U will get the equation 2x-5y+10=0 Now convert this into slope-intercept form..... Seperate y on one side ... 5y=2x+10
now, y= 2/5 x + 2 .... okay..... NOw compare it with y=mx+c.... U will get m= 2/5 ..... c=2 which satisfies the diagram.... where m stands for slope....... Sorry If I am wrong.... But Thats what I have calculated.... Guide me If I had made a mistake......... Thank You., :)

Answer 4

waleed_imtiaz
at x=0, y is not 2. so the Y-intercept can't be 2.

Answer 5

Two points in that graph are:
(-2, 1) and (3, 3)

Answer 6

Oh. okay.. then please Can u explain how U get these two points......... ?

Answer 7

@PhoenixFire is right..

Answer 8

Just see for x and y coordinates where the points lie..

Answer 9

@waleed_imtiaz The two points I said are because they have dots on them in the graph that was presented.

Answer 10

oh... yea..... I got it.... the two points should me (-2,1) and (3,3)

Answer 11

Now can we apply the same procedure as I did.........? two point form.. then convert it into slope-intercept form and get the slope....... ?
or some other method ?

Answer 12

Attempt it and see if you get the same answer as just using the gradient equation I said earlier.

Answer 13

the slope will be = 2/5 again...... What U say ?

Answer 14

Yes the slope will be 2/5. Now you can put the slope and one of the points into y=mx+c and solve for c if you want to know the y-intercept.

Answer 15

If we use these two points to solve for the slope.we'll get slope=2/5(-5,0) and (0,2).... and if we use(-2,1) and (3,3), then also slope=2/5..... So I can conclude from this that these points are collinear and any two points can be used in order to get the slope that make up the line..... What do u say @phoenixfire?

Answer 16

@waleed_imtiaz The problem with that is that (-5, 0) and (0, 2) are NOT on the line. They are close, but they are not.

Answer 17

Mmmm........