ivyheathers
ivyheathers ivyheathers
  • 01-09-2021
  • Mathematics
contestada

find the value of a if the line joining the points (3a,4) and (a,-3) has a gradient of 1

Respuesta :

LammettHash
LammettHash LammettHash
  • 01-09-2021

Recall that the slope or gradient of a line segment through two points is the ratio of the change in the y coordinate to the change in the x coordinate.

If the gradient is 1, then

1 = (-3 - 4) / (a - 3a)

Solve for a :

1 = -7 / (-2a)

1 = 7/(2a)

2a = 7

a = 7/2

Answer Link

Otras preguntas

Why was Emmeline Pankhurst significant?
You begin solving the equation 4 – 5x = 59 by subtracting 4 from both sides. Which is the best choice for Step 2?
what is the difference and similarity between a pentagonal prism and a pentagonal pyramid?
how do I solve 9 1/9 - 5/6
A particle is moving along the x-axis so that its position at any time t is greater than and equal to 0 is given by x(t)=2te^-t?A) Find v(t). B) Find a(t).C) At
Water Cycle: As ___________ cools, it changes back to liquid form. Drops come together to form ________.
A box if cereal has a volume of 384 cubic inches . If width of the box is 4 inches and the length is 8 inches , what is the height of the box?
How much does 3000 kg = to get tons
A box if cereal has a volume of 384 cubic inches . If width of the box is 4 inches and the length is 8 inches , what is the height of the box?
a video game is on sale for 25 percent off the original price is $42. what is the discount? and what is the sale price?