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What is the slope intercept of (8 -8) and a slope of -1

Sagot :

We are to find the equation of a line using slope-intercept form

Given, slope = -1 and point (8,-8)

The slope-intercept equation is given to be

[tex]y=mx+c[/tex]

From the point (8, -8)

x = 8, y = -8

Substituting the values of x and y from into the equation

slope, m = -1

We have

[tex]-8=(-1)(8)+c[/tex]

Simplifying this we get

[tex]\begin{gathered} -8=-8+c \\ -8+8=c \\ c=0 \end{gathered}[/tex]

Hence, c = 0

Substituting the value of c and m into the slope-intercept equation

We get

[tex]y=-1x+0[/tex]

The equation become

[tex]y=-x[/tex]

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