Question

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Answer 1

Answer:

A) To plot equations in point-slope form, pick one and let x = 0, then solve for y (or -4). That gives you point 1 (0,-4). Then let y = 0 and solve for x (or 2/3). That gives you a second point (2/3,0). Plot the two points and draw the line. Repeat for the second equation (points are (0,-3) and (3/5,0)). Where the lines cross is the solution for both equations.

B) point (1,2) fits both equations.

Step-by-step explanation:

Or solve by brute force...

The solution is where the same X,Y point fits both equations, or Y1 = Y2 and X1 = X2. So the equations in point-slope form (already in point-slope form) equal to each other, solve for X and plug that back into either of the equations to find Y.

6X - 4 = 5X -3

X = 1  so

y = 6X - 4

Y = 6 - 4

Y = 2

Answer 2

The solution to the pair of equations is
Step-by-step explanation:
The given equations are:


To solve the pair of equations graphically, we need to graph the two equations. Their point of intersection is the solution to the pair of equations.
The functions are in the form;

where m=6 is the slope and b=-4 is the y-intercept of .
and where m=5 is the slope and b=-3 is the y-intercept of .
The two equations have been graphed in the attachment.
They intersected at (1,2).
The solution to the pair of equations is