Respuesta :
Answer:
-1/4x + 1 ( If this is wrong then ignore this)
Step-by-step explanation:
The formula for a problem like this is y - y1 = m(x - x1). The x coordinate, -8 is the x1 and the y coordinate 3 is x1. So the equation is y - 3 = -1/4(x + 8)
Equation:
y - 3 = -1/4(x + 8)
y - 3= -1/4x - 2
y = -1/4x + 1
Therefore the equation for the line is y = -1/4x + 1
Given parameters:
Slope of the line = [tex]-\frac{1}{4}[/tex]
Coordinates of the points = (-8, 3)
Unknown:
Equation of the line = ?
Solution:
To find the equation of the line, we must note that any straight line can be represented by the equation;
y = mx + c
where x and y are the coordinates
m is the slope
c is the y-intercept of the line
Input the parameters and solve for c;
x = -8 and y = 3;
3 = [tex]-\frac{1}{4}[/tex] x (-8) + c
3 = 2 + c
c = 1;
So the equation of the line is ;
y = [tex]-\frac{1}{4}[/tex]x + 1
multiply through by 4;
4y = -x + 4
The equation of the line is 4y = -x + 4