When graphing the two equations, the point of intersection is the solution. *by the way the top question is an example of the graph* to graph each equation, apply the slope intercept form, y = mx + b *find solution for all* equations: 1) y = 5x - 2 y = x + 6 2) y = 2x - 4 y = x +2 3) y = x + 2 y = -x +2 now for questions 4-6, check the solution too 4) y = 3x + 2 y = 3x - 4 m= m= b= b= 5) y = 2x + 1 2y = 4x + 2 m= m= b= b= 6) y = x - 3 y = -x +3 m= m= b= b= *dont have to check solution for 7-9* 7) y = 5x + 1 y = x - 3 8) y = x - 5 y = 3x + 1 9) y = 3x - 1 y = 3x - 4

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Step-by-step explanation:

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

the weight of the object inside the box!