All categories

2 years ago

A straight line has equation 4y-5x=2 work out the gradient of this line

Mathematics

1 answer:

PilotLPTM [1.2K]2 years ago

8 0

Answer:

gradient = $\frac{5}{4}$

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope (gradient) and c the y- intercept )

Given

4y - 5x = 2 ( add 5x to both sides )

4y = 5x + 2 ( divide the terms by 4 )

y = $\frac{5}{4}$ x + $\frac{1}{2}$ ← in slope- intercept form

with gradient m = $\frac{5}{4}$

You might be interested in

A bag of candy contains 300 pieces of which 28% are red. How many are not red?

Luden [163]

216
...................................

4 0

3 years ago

Read 2 more answers

What is the factored form for the quadratic function?

kirill115 [55]

Answer:

Step-by-step explanation:

The factored form of a quadratic function is f (x) = a (x - p) (x - q) where p and q are the zeros of f (x).

8 0

2 years ago

2.) Use the Slope Intercept Form of a line to find the equation of the line from point C to point D.

mezya [45]

First we need slope

C=(0,0)
D(7,12)

$\\ \sf\longmapsto m=\dfrac{12-0}{7-0}$

$\\ \sf\longmapsto m=\dfrac{12}{7}$

Put D co-ordinates on y=mx+b

$\\ \sf\longmapsto 12=\dfrac{12}{7}(7)+b$

$\\ \sf\longmapsto 12=12+b$

$\\ \sf\longmapsto b=12-12$

$\\ \sf\longmapsto b=0$

Now

slope intercept form.

$\\ \sf\longmapsto y=\dfrac{12}{7}x$

As b=0

8 0

2 years ago

Read 2 more answers

Which equation represents the line that passes through the points (-5,2) and (9,0)

V125BC [204]

Step-by-step explanation:

Given points 

( -5 , 2) and (9 , 0)

First calculating slope(m)

= ( y2 - y1) / ( x2 - x1) 

= ( 0-2) / ( 9+5)

= -2 / 14

= -1/7

Now The equation of line is given by 

y - y1 = m ( x - x1) 

y -2 = -1/7 (x + 5)

7( y - 2) = -1(x + 5)

7y - 14 = -x -5

x + 7y -14 +5 = 0

x + 7y - 9 = 0 

Which is the required equation 

7 0

3 years ago

When two numbers are multiplied together, the result is 128.

fomenos

Answer:

32 and 4

Step-by-step explanation:

128=2^7

(8xa)xb=128

axb=2^4=16

(8x4)x4=128

3 0

2 years ago