Answer:
[tex]y=-\frac{1}{2} x+4[/tex]
Step-by-step explanation:
The equation of a straight line in slope intercept form is given by:
y = mx + c;
where y, x are variables, m is the slope of the line and c is the y intercept (that is value of y when x is 0).
The equation of a line passing through point ([tex]x_1,y_1[/tex]) with a slope of -1/2 is given by:
[tex]y-y_1=m(x-x_1)[/tex]
Given that the line passes through the point (-10,9) and has a slope of -1/2. Hence the equation of the line is:
[tex]y-9=-\frac{1}{2}(x-(-10)) \\\\y-9=-\frac{1}{2} (x+10)\\\\y=-\frac{1}{2} x-5+9\\\\y=-\frac{1}{2} x+4[/tex]
