Question

Write the equation of the line fully simplified slope-intercept form
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Answer 1

y =
`(-1)/(4)` x - 6

We have the points (4,-7) and (0, -6) on the graph

Slope of the line through these ponts =
`(-6 - -7)/(0 - 4)` [ -6 - - 7 ] / [ 0 -4 ] =
`(-1)/(4)` = m

We have the form

y = mx + b

Where m = the slope b = the y intercept = -6

So we have that

y =
`(-1)/(4)` x - 6