Question

Line AB passes through points A(−6, 6) and B(12, 3). If the equation of the line is written in slope-intercept form, y=mx+b, then m=m equals negative StartFraction 1 Over 6 EndFraction.. What is the value of b?

Answer 1

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m= $\frac{-1}{5}$

b= 5

Step-by-step explanation :

slope between two points:slope = $\frac{y²-y¹}{x2-x1}$

x1, y2=(-6,6), x2, y2) =12,3

m= ${frac{3-6}{12-(-6)}$

m= $\frac{-1}{6}$

As the equation in point - slope from

y-y_1=m\left(x-x_1\right)

here,

m is the slope and

x1, x2 is a point on the line

using m= $\frac{-1}{6}$ and x1, y2(-6,\:6\right) then

y-6= $\frac{-1}{6}$

$\frac{-1}{6}$ (-6))) (-6) = y (-6) - 6(-6)

x+6=-6y+36

x+6-36=-6y

x-30=-6y

$\frac{x-30}{-6}$

y= $\frac{-1}{6}$x +5

Thus

$\frac{-1}{6}$x +5

comparing the equation with the slope-intercept form

y=mx+b

y= $\frac{-1}{6}$x +5

Therefore,

m= $\frac{-1}{6}$

b=5

Hope it's helps you ☺️