Answer:
Correct answer not shown on the options.
y = -(1/2)+1
Step-by-step explanation:
Let's find an equation in the format of y=mx+b, where m is the slope and b is the y-intercept (the value of y when x=0).
The slope can be calculated as the Rise/Run of the line between the two given points (-6,4) and (-2,2):
Rise = (2 - 4) = -2
Run = (-2 - (-6)) = 4
Slope = Rise/Run = -2/4 or -(1/2)
In fact, the actual full equation is y= -(1/2)x+1 (See attached graph).
None of the options have a slope of -(1/2). Either the information on the two points or the options are incorrect.
Answer:
y=[tex]-\frac{1}{2}x[/tex]+1
Step-by-step explanation:
y = mx plus c,where m is the gradient.
∴m =[tex]\frac{y2-y1}{x2-x1}[/tex]=[tex]\frac{2-4}{-2-(-6)}[/tex]=[tex]\frac{-2}{4}[/tex]=[tex]-\frac{1}{2}[/tex]
Equation of a line equals
y-y1=m(x-x1) (Using point (-6, 4) for x1 and y1 values)
y-4=[tex]-\frac{1}{2}[/tex](x-(-6))
y-4=[tex]-\frac{1}{2}[/tex](x+6)
y-4=[tex]-\frac{1}{2}[/tex]x-3
2(y-4)=-x-3(2)(multiply through by 2)
2y-8=-x-6
2y=-x+2(divide through by 2)
y=[tex]-\frac{1}{2}x[/tex]+1
∴the equation of the line is y=[tex]-\frac{1}{2}x[/tex]+1
