Question

Graph the line that passes through -1 and 1 and is parallel to another line whose slope is 1.

Answer 1

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Explanation:

To graph the line that passes through (-1, 1) and is parallel to another line whose slope is 1, we need to know the slope of the line. Since the line is parallel to another line whose slope is 1, it also has a slope of 1.

We can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

where m is the slope of the line and (x1, y1) is a point on the line.

Substituting m = 1, x1 = -1, and y1 = 1, we get:

y - 1 = 1(x + 1)

Simplifying this equation, we get:

y = x + 2

Now, we can graph this line by plotting the point (-1, 1) and then using the slope to find additional points. Since the slope is 1, we can move one unit to the right and one unit up from (-1, 1) to get another point on the line. We can repeat this process to get more points on the line.