Question

Find the equation of the lime shown?

Answer 1

`\Large \boxed{\sf y = - 2x + 9}\\\\\sf Use\ the\ slope\ formula\ to\ find\ the\ slope\\ using\ two\ points\ from\ the\ graph.\\\\(0,9)\ and\ (4.5,0)\\\\\displaystyle m = (y_2 - y_1)/(x_2 - x_1)=(0-9)/(4.5-0) =-2\\\\The\ line\ intercepts\ at\ the\ y-axis\ at\ (0,9).\\ The\ y-intercept\ is\ b=9.\\\\ y=mx+b\\y=-2x+9`

Answer 2

• y = - 2x + 9

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Use two points on the line

• (0, 9) and (4, 1)

The y-intercept is b = 9, find the slope

• m = (1 - 9)/4 = - 8/4 = - 2

The line is

• y = mx + b
• y = - 2x + 9