All categories

3 years ago

Write an equation of the line with the given slope and y-intercept

Mathematics

1 answer:

Ilya [14]3 years ago

3 0

Answer:

The equation of line is y = x + 10

Step-by-step explanation:

Given as :

The slope of line = m = 1

The y intercept of line is 10

Now equation of line in intercept form is y = m x + c

∵ The line have y intercept only then x axis of line is zero

So, The equation of line

10 = 1 × 0 + c

Or, 10 = 0 + c

So, c = 10

∴ The new equation of line become y = 1 × x + 10

I,,e y = x + 10

Hence The equation of line is y = x + 10 Answer

You might be interested in

Michelle has $8 and wants to buy a combination of dog food to feed at least two dogs at the animal shelter. A serving of dry foo

Ghella [55]

Answer:

PART A: Inequality (a)

Solve for y

The graph of y ≥ ⅓(8-x) is represented by the upper red line and all points in the shaded area below it. The line is solid because points on the line satisfy the conditions.

Inequality (b)

Solve for y

The graph of y ≥ 2 - x is represented by the lower blue line and all points in the shaded area above it. The line is solid because points on the line satisfy the conditions. The solution lies in the purple area. It consists of all combinations of x and y that make y ≥ ⅓(8 - x) and y ≥ 2 - x. A practical but not a mathematical condition is that all values of x and y must be zero or positive numbers (for example, you can't have -2 servings of food), so I have plotted only the numbers in the first quadrant.

PART B: If a point is a solution of the system, then the point must satisfy both inequalities of the system.

For x=8, y=2. Verify inequality A is not true. So the point does not satisfy inequality A. Therefore, the point is not included in the solution area for the system.

PART C: I choose the point (3,1) which is included in the solution area for the system.

That means Michelle buys 3 serves of dry food and 1 serving of wet food.

Step-by-step explanation:

Plz mark Brainliest?

3 0

2 years ago

Can someone help me with the questions in the picture?

jolli1 [7]

Answer:

1. x= -4

2. x= 18

3. x= -15

4. x = 6

Step-by-step explanation:

Use relationship of angles to create equations and solve for x

6 0

2 years ago

Read 2 more answers

What is

Sergeeva-Olga [200]

Answer:

Standard form of the equation is:

∴ $3x+y=23$

Step-by-step explanation:

Given equation:

$y-2=-3(x-7)$

To convert the given equation to standard form of equation:

$A(x)+B(y)=c$

Using distribution.

$y-2=(-3x)+(-3\times-7)$

$y-2=-3x+21$

Adding 2 both sides.

$y-2+2=-3x+21+2$

$y=-3x+23$

Adding $3x$ to both sides.

$3x+y=3x-3x+23$

∴ $3x+y=23$

6 0

3 years ago

Which is a limitation of using cellulose

Semmy [17]

Answer:

Step-by-step explanation:

The main limitation of using the cellulose is that it is obtained from plant cell and it cannot be used in abundant amount. Although the most abundant form of carbohydrate found is cellulose but we cannot extract it from the plants for using it

3 0

3 years ago

Read 2 more answers

Reuben rented a truck for one day. There was a base fee of $15.99, and there was an additional charge of 86 cents for each mile

RUDIKE [14]

Answer:He drove it for 126 miles

Step-by-step explanation:

3 0

2 years ago