Write in slope-intercept form an equation of the line that passes through the points (−4, 2) and (6,−3).

Step-by-step explanation:

(−4, 2)    ⇒     x₁ = −4,  y₁ = 2

(6,−3)     ⇒     x₂ = 6,  y₂ = −3

So the slope:

The point-slope form of the equation of the line passing through point (x₀,y₀) and with slope m is:  y - y₀ = m(x - x₀)

m = -0.5

(−4, 2)    ⇒     x₀ = −4,  y₀ = 2

Therefore:

               y - 2 = -0.5(x - (-4))

               y - 2 = -0.5x - 2               {add 2 to both sides}

               y = -0.5x          ←  the slope-intercept form of the equation (b=0)

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step-by-step explanation: