write the equation of the line in slop-intercept form.
The slope-intercept form of a linear equation is y = mx + b, where m represents the slope of the line and b represents the y-intercept.
To write the equation of a line in slope-intercept form, you need to find the values of m and b.
Example: Let's say the slope of the line is 2 and the y-intercept is 3.
The equation of the line in slope-intercept form would be:
y = 2x + 3
To write the equation of a line in slope-intercept form, you need to know the slope of the line and the y-intercept. The slope-intercept form is given by y = mx + b, where m represents the slope and b represents the y-intercept.
If you have the slope of the line, m, and the y-intercept, b, you can substitute these values into the equation to form the equation of the line.
Let's say the slope of the line is 2 and the y-intercept is 5. The equation of the line in slope-intercept form would be:
y = 2x + 5
In this equation, the slope is 2 and the y-intercept is 5.
To write the equation of a line in slope-intercept form, we need two pieces of information: the slope of the line (m) and the y-intercept (b). The equation is then given by:
y = mx + b
The slope (m) represents the rate of change of the line, while the y-intercept (b) is the value of y when x equals zero.
If you have additional information about the line, such as two points through which it passes, you can use that information to find the slope and then substitute it into the equation. However, if you only have the equation of the line in standard form (Ax + By = C), you can rearrange it to slope-intercept form using the following steps:
1. Start with the equation in standard form: Ax + By = C.
2. Subtract Ax from both sides: By = -Ax + C.
3. Divide everything by B to isolate y: y = (-A/B)x + (C/B).
Now, the equation is in slope-intercept form (y = mx + b), and you have the slope (-A/B) and the y-intercept (C/B).
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