Given that the point slope form of an equation is y = mx + b where m represents the gradient and b is the y-intercept. Then, you have to substitute the following values into the equation :

$y = mx + b$

$let \: m = \frac{3}{7} ,x = 7,y = - 4$

$- 4 = \frac{3}{7} (7) + b$

$- 4 = 3 + b$

$- 4 - 3 = b$

$b = - 7$

7 0

3 years ago

Help and explain your thinking please

Scilla [17]

Answer:

y=mx+b

Step-by-step explanation:

the equation would be y= 3/4 + 3

the rise is 3

the run is 4

the line runs through 3 on the y intercept.

3 0

3 years ago

Two cylinders are similar. The surface area of one is 49 cm ^ 2 , and the surface area of the other is 121 cm ^ 2 . Find the sca

dalvyx [7]

Answer:

7 : 17.29

Step-by-step explanation:

==>Given:

Two similar cylinders:

Surface area of Cylinder A = 49cm²

Surface area of Cylinder B = 121cm²

==>Required:

Scale factor between both cylinders

==>Solution:

We can easily get the scale factor between both by taking the following steps:

=>Set up a ratio of their surface area:

Smaller cone surface area : larger cone surface area

49:121

= 49/121

=>Simplify the ratio gotten:

Dividing the denominator and the numerator by 7, would give us,

7/17.29

= 7:17.29

8 0

3 years ago

Read 2 more answers

Prove the quotient rule. hint: you can do this directly, but it may be easier to find the derivative of 1/x and then use the cha

Bess [88]

The quotient rule is
d(u/v) = (u dv - v du) / u2

d(u/v) can written as
d( u (1/v) )

Using the product rule and chain rule
d( u (1/v)) = u d(1/v) + (1/v) du
= u (-1/v2) dv + (!/v) du
= (u dv - v du) / u2

5 0

3 years ago