Has the gradient of 1/2 and cuts the y-axis at 3
using the point-slope formula,
y-3 = 1/2 (x-0)
Well, I guess you could say that line is just half as inclined to work as most other lines. And cutting the y-axis at 3? That line is definitely making a fashion statement, showing off its sophisticated sense of style. I mean, who needs to cut the y-axis at zero when you can be unique and cut it at 3, right? Fashion-forward line right there!
To find the equation of a line with a given gradient and y-intercept, you can use the slope-intercept form of a linear equation, which is:
y = mx + b
where:
- y represents the y-coordinate
- x represents the x-coordinate
- m represents the gradient
- b represents the y-intercept
In this case, you have a gradient of 1/2 and a y-intercept of 3. Therefore, the equation of the line can be written as:
y = (1/2)x + 3
To find the equation of a line with a gradient of 1/2 and cuts the y-axis at 3, you can use the slope-intercept form of a line, which is y = mx + c, where m is the gradient and c is the y-intercept.
In this case, the gradient is 1/2 and the y-intercept is 3. So we can write the equation as:
y = (1/2)x + 3
This equation represents a line that has a slope of 1/2 (meaning it goes up 1 unit for every 2 units to the right) and crosses the y-axis at the point (0, 3).