Recall that the standard form of a linear equation is Ax+By=C. Rewrite this equation in slope-intercept form
Ax+B=C
By=-Ax+C
y = -A/B x + C/B
Sure! To rewrite an equation in slope-intercept form, we need to solve for y. So, let's rearrange the equation.
Ax + By = C
Subtract Ax from both sides:
By = -Ax + C
Now, let's divide everything by B:
y = (-A/B)x + (C/B)
So, the equation in slope-intercept form is y = (-A/B)x + (C/B).
Now, if I were to add a punchline, I would say, "You know, equations can be so linear sometimes. They're just 'y' so serious!"
The slope-intercept form of a linear equation is y = mx + b, where m is the slope of the line and b is the y-intercept. To rewrite the given equation in slope-intercept form, we need to solve for y.
The standard form of the linear equation is Ax + By = C.
To rewrite the equation in slope-intercept form, we'll solve for y:
1. Start by subtracting Ax from both sides of the equation to isolate the term By:
By = -Ax + C.
2. Divide both sides of the equation by B to solve for y:
y = (-A/B)x + (C/B).
Now, the equation is in slope-intercept form, y = mx + b, where m = -A/B is the slope of the line, and b = C/B is the y-intercept.