Use slope formula, m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction, to find the slope of a line that passes through the points (–3, 8) and (4, –6).

m =
Use slope-intercept form, y = mx + b, to find the y-intercept (b) of the line.

b =
What is the new equation written in slope-intercept form, y = mx + b?

m = -2

b = 2

y= -2x+2

Step-by-step explanation:

First, slope is change in y over change in x, or rise over run. Plugging these points in, (y2-y1)/(x2-x1)=(-6-8)/(4--3), or -14/7, simplifying, the slope= -2.

Now, we have y=2x+b. Using the point (-3,8), 8=-2*-3+b, or 8=6+b, subtracting 6, 2=b.

Using slope intercept form, y=mx+b, or y=-2x+2.

The slope, intercept and linear equation of the relation given are :

Given the points :

The slope formula :

Using the linear relation :

Therefore, the slope, = - 2 and intercept = 2

The new equation written in the form y = mx + b will be ;

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3-4

step-by-step explanation:

the answer is 3-4 because both 45 and 60 has a multiple of 15.

45/3=15

60/4=15

therefore the odds against selecting a red is 4-3

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