Answer:
The equation of a line in Point-Slope form is y -3=[tex]-\frac{2}{3}[/tex] *(x+1)
Step-by-step explanation:
Linear equations can take various forms, such as the point-slope formula. This formula gives the slope of a line and the coordinates of a point on it. The point-slope form of a linear equation is written as:
y - y1= m*(x-x1)
In this equation, m is the slope and (x1, y1) are the coordinates of the point.
In this case, you know that the line has a slope of [tex]-\frac{2}{3}[/tex] and passes through the point (-1,3). This is, m=[tex]-\frac{2}{3}[/tex] and (x1;y1)=(-1;3). Replacing:
y -3=[tex]-\frac{2}{3}[/tex] *(x-(-1))
This is:
y -3=[tex]-\frac{2}{3}[/tex] *(x+1)
The equation of a line in Point-Slope form is y -3=[tex]-\frac{2}{3}[/tex] *(x+1)
