9=x/6-1<br><br><br> what is x ?<br> sry I have to type more so this counts

What is the point-slope form of a line that has a slope of 5 and passes through

Helen [10]

Answer:

Step-by-step explanation:

m = 5 ; (3, -4)

y - y₁ = m (x - x₁)

y - [-4] = 5 (x - 3)

y + 4 = 5x - 15

y = 5x - 15 - 4

y = 5x - 19

4 0

2 years ago

Point R(5,-3) and point N(9,-4) are on line k. What is the slope of the line passing through these points?

Aleks04 [339]

The slope of a line, denoted "m" is:

m=(y2-y1)/(x2-x1), where (x1,y1) and (x2,y2) are any two points on the line.

m=(-4--3)/(9-5)

m=-1/4

So the slope is negative one quarter.

8 0

3 years ago

This is due tomorrow, so please help and show step by step

Softa [21]

Answer:

slope = 3/2
y-intercept = 3
x-intercept = -2

Step-by-step explanation:

The slope is the coefficient of x when the equation is of the form ...

y = (something).

Here, we can put the equation in that form by subtracting 12x and dividing by the coefficient of y:

12x -8y = -24 . . . . . given

-8y = -12x -24 . . . . .subtract 12x

y = 3/2x +3 . . . . . . . divide by -8

This is the "slope-intercept" form of the equation. Generically, it is written ...

y = mx + b . . . . . . where m is the slope and b is the y-intercept

So, the above equation answers two of your questions:

slope = 3/2

y-intercept = 3

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The x-intercept is found fairly easily from the original equation by setting y=0:

12x = -24

x = -24/12 = -2 . . . . . the x-intercept

_____

A graph of the equation can also show you these things. The graph shows a rise of 3 units for a run of 2, so the slope is rise/run = 3/2. The line crosses the axes at x=-2 and y=3, the intercepts.