Question

FAN AND MEDAL

Use slope-intercept form, y = mx + b to find the equation of the line that passes through the points (−6, 1) and (3, 4)

1)y = –3x + 5

2)y = 3x – 5

3)y=1/3x+3

4)y=-1/3x+5

Answer 1

@bibby

Answer 2

find the slope first

Answer 3

so...

Answer 4

but that's none of the choices

Answer 5

slope of points between (x1,y1) and (x2,y2) \(\dfrac{y_2-y_1}{x_2-x_1}=m\)

\(m=\dfrac{4-1}{3-(-6)}=\dfrac{3}{9}=\dfrac{1}{3}\)

\(y-y_1=m(x-x_1)\\
y-4=\dfrac{1}{3}(x-3)
\\y-4=\dfrac{1}{3}x-1
\\y=\dfrac{1}{3}x+3\)

Answer 6

thank you