Answer: y = -1/2x+3
Step-by-step explanation: use the slope intercept form, y = mx + b :)
Answer:
[tex]y=-\frac{1}{2}x+3[/tex]
Step-by-step explanation:
Let's write the equation of the line in slope-intercept form, y= mx +c.
Since we are given the slope value, we can substitute it into m in the equation.
[tex]y=-\frac{1}{2}x+c[/tex]
The question also tells us that this line passes through the point (6, 0). This means that (6, 0) has to satisfy the equation above, where c is an unknown value. The point (6, 0) means that when x= 6, y has a value of 0.
Substituting point (6, 0):
[tex]0=-\frac{1}{2}(6) +c[/tex]
Solve for c:
0= -3 +c
c= 3
Substitute the value of c:
Thus, the equation of the line is [tex]\bf{y=-\frac{1}{2}x+3 }[/tex].
Do check out the following question for an example of writing equation of lines using the point-slope formula!