Question

Will the slope here be -7? I’m not sure on this

Answer 1

In the given graph, the line passes through at y = -7

Thus equation of line is y = -7

The general equation of line represent as;

`\begin{gathered} y-y_1=(y_2-y_1)/(x_2-x_1)(x-x_1) \\ or\text{ } \\ y-y_1=m(x-x_1),m=(y_2-y_1)/(x_2-x_1) \end{gathered}`

Consider any two coordinate as; (0 ,-7) and (2, -7)

Substitute this coordinate in the equation of line as;

`\begin{gathered} y-y_1=(y_2-y_1)/(x_2-x_1)(x-x_1) \\ y-(-7)=(-7-(-7))/(2-0)(x-0) \\ y+7=(-7+7)/(2)x \\ y+7=0x \end{gathered}`

Thus, here slope = 0

For the vertical intercept, x= 0 and y = -7

Therefore;

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