MDE = 115 and mbc =42. Find m

What is the standard form equation of the line shown below? Graph of a line going through negative 2, 3 and 1, negative 3

V125BC [204]

Answer:

3. 2x + y = −1

Step-by-step explanation:

To find the equation of the line, we write it first in the slope-intercept form:

$y=mx+q$

where

m is the slope

q is the y-intercept

From the graph, we see that the line crosses the y-axis at y = -1, so the y-intercept is -1:

$q=-1$

Now we have to find the slope, by calculating the rate of change of the line through 2 points:

$m=\frac{y_2-y_1}{x_2-x_1}$

Taking the two points at (-2,3) and (1,-3), we find:

$m=\frac{-3-3}{1-(-2)}=\frac{-6}{3}=-2$

So the equation of the line is

$y=-2x-1$

Now we have to re-arrange it in the standard form, so in the form

$ax+bx=c$

where a, b and c are integer numbers.

To do that, we simply add +2x on both sides of the equation of the line in the slope-intercept form, and we get:

$y+2x=-1$

So, option 3).

6 0

3 years ago

In a certain urban are, the relationship between , number of students ,x, in thousands, and the number schools, y, has an x-inte

chubhunter [2.5K]

Answer:

-12 = 3x - 4y

Step-by-step explanation:

Two points on the graph are (-4, 0) and (0, 3). Moving from the first point to the second, we see x (the 'run') increase by 4 and y (the 'rise') increase by 3. Thus, the slope of this line is m = rise / run = 3/4.

Using the point slope form, we get:

y - 3 = (3/4)(x - 0), or

4y - 12 = 3x, or

-12 = 3x - 4y (which is in Standard Form).

6 0

3 years ago

HELPP HELP. It’s about slope!!!! Explanation needed

OleMash [197]

Answer:

Step-by-step explanation:

A line has equation: y = ax + b

This line has slope a = 1

This line passes (4, 1)

=> 1 = 4 + b

=> b = -3

=> The equation of this line : y = x - 3

This line passes another point (x, -6)

=> -6 = x - 3

=> x = -6 + 3

=> x = -3

3 0

3 years ago

You buy the same number of brushes, rollers, and paint cans. Write an expression in simplest form that represents the total amou

Soloha48 [4]

If you buy ' N ' of each item, then you'll pay 3.99N for brushes,
21.79N for cans of paint, and 6.89N for rollers.

The question assures us that you bought the same number of
each item. So your total bill at the hardware store checkout is

3.99N + 21.79N + 6.89N

= N (3.99 + 21.79 + 6.89)

= 32.67 N .

3 0

3 years ago

Peyton has 32 cubes. Myra has 18 cubes. If both students use all the cubes to make trains with 10 cubes,how many trains can they

malfutka [58]

Answer: 9

Step-by-step 32 + 18 is 50

8 0

3 years ago

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