Question

Graph that line with slope -1 passing through the point (-2,4)

Answer 1

To graph the line with slope -1 passing through the point (-2,4), we can use the point-slope form of the equation of a line, which is:

• y - y1 = m(x - x1)

where m is the slope of the line, and (x1, y1) is the given point on the line. Substituting the given values, we get:

• y - 4 = -1(x - (-2))

Simplifying this equation, we get:

• y - 4 = -x - 2
• y = -x + 2

Now we can graph this line by plotting the given point (-2,4), and then using the slope of -1 to find one or more additional points on the line. We can do this by starting at the given point and then moving one unit down (since the slope is negative) and one unit to the right (since the slope is -1). This gives us the point (-1,3). We can then connect these two points to graph the line.

GRAPHICAL REPRESENTATION:

|

|

|

|

| /

| /

| /

-------+---------

|

|

|

|

|

|