Question

Graph the line that has a slope of 2 and includes the point (0,1)

Answer 1

To graph the line with a slope of 2 and passing through the point (0,1), we can use the point-slope form of a linear equation, y - y1 = m(x - x1), where (x1, y1) is the given point and m is the slope.

In this case, the equation of the line is y - 1 = 2(x - 0), which simplifies to y - 1 = 2x.

To graph the line, we can plot the given point (0,1) on the coordinate plane as the y-intercept, and then use the slope to find additional points on the line.

When x = 1, y = 2(1) + 1 = 3, so another point on the line is (1, 3).

Plotting these two points and drawing a straight line passing through them, we get:

|
4 |
|
3 | ● (1,3)
|
2 |
|
1 | ● (0,1)
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1 2 3 4 5