The markings of a standard ruler

Write the equation of the line that passes through the two points: (-4, 11) and (2,-4)

snow_tiger [21]

Answer:

y= - $\frac{5}{2}$ x+1

Step-by-step explanation:

Utilize the formula of $\frac{y2-y1}{x2-x1}$ to find the distance between two points, or in this case, the equation of the line that passes through two points.

Applying the given points to identify the slope

1. Plug the coordinates into the y and x values. $\frac{-4-11}{2+4}$ =- $\frac{15}{6}$ .

1.5. Simplify; divide both the numerator and the denominator by 3. - $\frac{5}{2}$ .

Applying slope and a point to find the y-intercept of the equation of a line

1. Utilize the formula of y=mx. Though this sounds strange, morph the sign of equality into subtraction.

1.5. Result: y-mx

2. Do this for both points.

First point: (-4,11)

y-mx

11 + $\frac{5}{2}$ (-4)

11 + -10 (11-10)

1

Plug the result and the slope into y=mx+b to find the slope of the line.

Result: y=- $\frac{5}{2}$ x+1.

Check your answer to confirm that the value of y is true for both points

1. Do the same thing you did with the first point, but use the second point this time.

2.

y-mx

-4 + $\frac{5}{2}$ (2)

-4 + 5

1

Plug the result and the slope into y=mx+b to find the slope of the line.

Result: y=- $\frac{5}{2}$ x+1. Identical to point one's result.

In conclusion, both of the results are the same. Therefore, the equation of the line must be y=- $\frac{5}{2}$ x+1.

3 0

4 years ago

The difference of some number and eighteen

PIT_PIT [208]

The answer is x-18 Do need the complete answer of your question??

8 0

3 years ago

Question 2 : Two lines meet at a point that is also the endpoint of a ray. Set up and solve an equation to find the value of a.

Gekata [30.6K]

Answer:

you should draw it in your graph sis

give me some points i have question two

Step-by-step explanation:

8 0

3 years ago

Which statement is true?

worty [1.4K]

A; any shape with four sides w/ a parallel side across from each other is co soldered a rectangle. It’s not b because quadrilaterals just have to have four sides, not be rectangles, it’s not c because a square has to have equal length sides and not all rectangles do, and it’s not d because a parallelogram only has one set of parallel lines, but a rectangle has to have two.

6 0

3 years ago

2. What is the solution of the system as an ordered pair?

Gala2k [10]

Answer:

2) it is an ordered pair that is a solution to BOTH equations

3) figure out what a particular word or phrase is doing

3 0

3 years ago