Answer:
y=0.5x+4
Use y2-y1/x2-x1 to find the slope:
3-6/-2-4
Sub in the x and y-values into y=0.5x+b
6=0.5(4)+b
Solve and b=4
Answer:
[tex]y=\frac{1}{2}x+4[/tex]
Step-by-step explanation:
Terri wrote the equation using slope-intercept form for the line that passes through the points (4, 6) and (–2, 3)
Using the points find out slope
[tex]slope = \frac{y2-y1}{x2-x1} = \frac{3-6}{-2-4} =\frac{1}{2}[/tex]
m= 1/2 and point (4,6)
Use point slope formula
y-y1=m(x-x1)
y-6= 1/2(x-4)
multiply 1/2 inside the parenthesis
y-6= 1/2x - 2
add 6 on both sides
[tex]y=\frac{1}{2}x+4[/tex]
