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kendallsykes10p4b3jl
The equation of the line is:

y = -1/2x - 8

To identify the equation of the line, we can start with the B, or the y-intercept. The y-intercept is the value that begins the line on the y-axis. For this case, that’s -8. The slope is the format of rise/run in which a point goes from one place to another. If for any reason one has to go down or to the left to find the slope, the slope is negative. It helps to count from one point to another starting at the y-intercept, so let’s do so:

The y-intercept is (0,-8). Upon beginning there, we can count down 1 point and to the right 2 to get to the point of (2,-9).

The equation of the line is:

y = -1/2x - 8

Answer: y=-0.5x-8

Step-by-step explanation:

Choose two points on the line: (0,-8) and (-6,-5)

Hence,

x₁=0   x₂=-6   y₁=-8   y₂=-5

[tex]\displaystyle\\The\ slope=\frac{y_2-y_1}{x_2-x_1}\\\\The\ slope=\frac{-5-(-8)}{-6-0} \\\\The\ slope=\frac{-5+8}{-6} \\\\The\ slope=\frac{3}{(3)(-2)}\\\\The\ slope=\frac{1}{-2} \\\\The\ slope=-\frac{1}{2}\\\\The\ slope=-0.5[/tex]

[tex]y=kx+b\\k=the\ slope=-0.5\\(0,-8) \ hence,\\-8=-0,5*0+b\\-8=0+b\\-8=b\\Thus,\\y=-0.5x-8[/tex]

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