Linear equations are typically organized in slope-intercept form: $y=mx+b$ where m is the slope (also called the gradient) and b is the y-intercept (the value of y when x is 0)

1) Plug the gradient into the equation (b)

$y=mx+b$

We're given that the gradient of the line is 4. Plug this into $y=mx+b$ as m:

$y=4x+b$

2) Determine the y-intercept (b)

$y=4x+b$

Plug in the given point (1,10) as (x,y) and solve for b

$10=4(1)+b\\10=4+b$

Subtract 4 from both sides to isolate b

$10-4=4+b-4\\6=b$

Therefore, the y-intercept of the line is 6. Plug this back into $y=4x+b$ as b:

$y=4x+6$

I hope this helps!

8 0

2 years ago

Read 2 more answers

-3(-x - 7) (Distributive property)

baherus [9]

I believe it is 3x+21 but i could be wrong :/ my explaination is -3 • -X would be +3x because it was distributed and -3 • -7 would be +21

5 0

3 years ago

Ms. Jefferson is laying out a photo page. Each photo is cut to 2 3⁄4 inches wide. How many photos can she fit in a row that is 1

lisov135 [29]

Answer:

She can fit 8 photos in a row if there are no spaces between the photos.

Step-by-step explanation:

5 0

3 years ago

olive's garden in only 10y2 and the watermelon plants she wants to grow required 2.5y2 each.how many watermelon plants can she g

DerKrebs [107]

Answer:

4 plants

Step-by-step explanation:

In this problem, we are given the total area of the garden, which is:

$A=10y^2$

The number of plants that can fit inside the garden is given by the equation:

$A=na$

where:

n is the number of plants

a is the area of each plants

In this problem, the area of each plant is

$a=2.5y^2$

Therefore, we can re-arrange the equation to find the number of plants that can fit:

$n=\frac{A}{a}=\frac{10}{2.5}=4$

8 0

2 years ago