Question

Write the point-slope form of the equation of the line passing through the points (-5,6) and (0,1)​

Answer 1

y - 6 = -(x + 5)

Explanation:

Point-slope form of a linear equation is written as:

`y-y_1=m(x-x_1)`, where
`(x_1,y_1)` is the point and m is the slope

Here, we're given two points: (-5, 6) and (0, 1). We need to find the slope, m. To do so, remember that slope is simply the change (or difference) in y-coordinates divided by the change (or difference) in x-coordinates. So:

m = (6 - 1) ÷ (-5 - 0) = 5 ÷ (-5) = -1

Thus, the slope is -1.

Now, let's just choose (-5, 6) as our point and plug -5 in for
`x_1`, 6 in for
`y_1`, and -1 in for m:

`y-y_1=m(x-x_1)`

`y-6=-1(x-(-5))`

y - 6 = -1(x + 5)

y - 6 = -(x + 5)

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