Find the slope of the line passing through the points: A(1, 5), B(-3, 4)?

Question

1.) Find the slope of the line passing through the points: A(1, 5), B(-3, 4)

A.)5/8

B.) 3

C.) 1/4

D.) none of the above.

2.)Given the points P(-1, 6) and Q(-2, 3) find the slope of the line.

A.)4

B.)2

C.)3

D.) None of these

thank you, and please explain.

Answer 1

The slope of a line is the ratio of the change in y over the change in x.

formula = m=y2-y1/x2-x1

in your question a : y1=5,

                               y2=4,

                               x1=1,

                                x2=-3

therefore slope= 4-5/-3-1

                        =-1/-4=1/4  

                        (ans) = 1/4

B. x1=-1

    x2=-2

    y1=6

    y2=3

slope= 3-6/-2-(-1))

        = -3/-1

        = 3(ans) = 3

Answer 2

The answer to this question is really simple if you know the slope equation.  It's (y2-y1)/(x2-x1) where (x1,y1) and (x2,y2).

So using this equation take your points

A = (1,5) so x1 = 1 and y1 = 5

B = (-3,4) so x2 = -3 and y2 = 4

(y2-y1)/(x2-x1) = (4-5)/(-3-1) = (-1)/(-4) = 1/4

The answer is C

Do the same for problem 2

P = (-1,6) so x1 = -1 and y1 = 6

Q = (-2,3) so x2 = -2 and y2 = 3

(y2-y1)/(x2-x1) = (3-6)/(-2+1) = (-3)/(-1) = 3

The answer is C

I hope you found this information useful and hope that you can now solve any problem like this one in the future.

Answer 3

1) C

Difference in Y over Difference in X = -1 / -4 = 1/4 (Editted)

2) C

Difference in Y over Difference in X = -3 / -1 = 3

*First to get it right :D*

Answer 4

1- gradient  4-5/-3-1

= -1/-4

= 1/4

C

2- 3--1/-2-6

4/-8

-1/2

D