Question

Graph each pair of linear equations in one coordinate plane.

1. y = 2x + 2 and 2y = 4x + 4
2. y = x - (-5) and y = -x + 3
3. y = 2x - (-3) and y = 2x + 4

Answer 1

Answer:

please like me

(-5) Andy=2x+4

Answer 2

Answer:

To graph the first pair of linear equations, we can start by solving each equation for y.

Step-by-step explanation:

The first equation is already in slope-intercept form, y = mx + b, where m = 2 and b = 2. So, we can graph this equation by starting at the y-intercept (0, 2) and then moving up 2 units for every 1 unit to the right.

The second equation, 2y = 4x + 4, can be rewritten as y = 2x + 2. This equation is also in slope-intercept form, y = mx + b, where m = 2 and b = 2. This equation is the same as the first one, so the two lines will be the same.

To graph the second pair of linear equations, we can start by solving each equation for y. The first equation, y = x - (-5), can be rewritten as y = x + 5. This equation is in slope-intercept form, y = mx + b, where m = 1 and b = 5. So, we can graph this equation by starting at the y-intercept (0, 5) and then moving up 1 unit for every 1 unit to the right.

The second equation, y = -x + 3, is also in slope-intercept form, y = mx + b, where m = -1 and b = 3. So, we can graph this equation by starting at the y-intercept (0, 3) and then moving down 1 unit for every 1 unit to the right. These two lines will be different, the first will be upward-sloping, and the second will be downward-sloping, and they will intersect each other at point (3,3)

To graph the third pair of linear equations, we can start by solving each equation for y. The first equation, y = 2x - (-3), can be rewritten as y = 2x + 3. This equation is in slope-intercept form, y = mx + b, where m = 2 and b = 3. So, we can graph this equation by starting at the y-intercept (0, 3) and then moving up 2 units for every 1 unit to the right.

The second equation, y = 2x + 4, is also in slope-intercept form, y = mx + b, where m = 2 and b = 4. So, we can graph this equation by starting at the y-intercept (0, 4) and then moving up 2 units for every 1 unit to the right. These two lines will be the same; they will be upward-sloping, parallel, and not intersecting.

The first equation is already in slope-intercept form, y = mx + b, where m = 2 and b = 2. So, we can graph this equation by starting at the y-intercept (0, 2) and then moving up 2 units for every 1 unit to the right.

The second equation, 2y = 4x + 4, can be rewritten as y = 2x + 2. This equation is also in slope-intercept form, y = mx + b, where m = 2 and b = 2. This equation is the same as the first one, so the two lines will be the same.

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