Question

Terri wrote the equation using slope-intercept form for the line that passes through the points (4, 6) and (–2, 3).

Answer 1

Answer:

$y=\frac{1}{2}x+4$

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

$slope = \frac{y2-y1}{x2-x1} = \frac{3-6}{-2-4} =\frac{1}{2}$

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

$y=\frac{1}{2}x+4$

Answer 2

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