Write the system of equations shown on each graph, then give the solution to the system.

Step-by-step explanation:

Question 1.

Slope of line 'l' =

                         =

                         =

Equation of a line passing through (x', y') and slope 'm' is,

y - y' = m(x - x')

Since, line 'l' is passing through (0, 7) and slope =

Equation will be,

y - 7 =

y =

Similarly, slope of line m =

                                         =

                                         =

Therefore, equation of line 'm' passing through point (0, -4) will be,

y + 4 =

y =

Solution = Point of intersection of both the lines

               = (-6, -1)

Question 2

Slope of line 'l' =

                         =

Equation of line 'l' passing through a point (0, 4) and slope = -

y - 4 =

y =

Slope of line 'm' =

                           =

Equation of line 'm' passing through a point (0, -1) and slope =

y + 1 =

y =

Since, slopes of both the lines are same, these lines will be parallel.

There will be NO SOLUTION.

answer

false

explanation

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