Respuesta :
The slope of the given equation of line is [tex]\frac{A}{B}[/tex] and the y-intercept is [tex]\frac{-C}{B}[/tex]
What is the equation of a line to the curve?
- A line's equation has the standard form ax + by + c = 0. Here, the variables are x and y, the coefficients are a and b, and the constant term is c.
- It is a first-order equation with the variables x and y.
- The coordinates of the point on the line shown in the coordinate plane are represented by the values of x and y.
Given: -Ax + By = -C
=> y = [tex]\frac{A}{B}x+ \frac{-C}{B}[/tex]
As we know that the slope-intercept form of an equation of a line is given by: y = mx + c, where:
- m = slope of the line
- c = y-intercept of the line.
On comparing the given equation of the line with this form, we get:
m = [tex]\frac{A}{B}[/tex] and c = [tex]\frac{-C}{B}[/tex]
Hence, The slope of the given equation of line is [tex]\frac{A}{B}[/tex] and the y-intercept is [tex]\frac{-C}{B}[/tex].
To learn more about equation of a line to a curve, refer to the link: https://brainly.com/question/13763238
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