Find the slope of the line that goes through the given points.  (2,3) (10,8)

The slope of the line is .

Step-by-step explanation:

The slope of a line can be found by using information from two points on the line. To do so, find the distance traveled horizontally and vertically, and make a fraction where the horizontal distance is the denominator and the vertical distance is the numerator.

First, subtract the smaller of the two x values from the larger x value.

10 - 2 = 8

The line traveled 8 units horizontally.

Next, subtract the smaller of the two y values from the larger y value.

8 - 3 = 5

The line traveled 5 units vertically.

Finally, use the horizontal distance us a denominator on the vertical distance to find the slope.

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form

slope= 1

y-inter slope= 0

x       y

o     0

1       1

2     2

ect.

step-by-step explanation: