Write the slope-intercept form of the equation of the line; (-5,-4) and prep. to y equals 5x plus 1

Step-by-step explanation:

The given line is defined by:  , where we see that the slope is 5 and the y-intercept 1.

In order to find a line perpendicular to the given one, we need it to have a slope that is the "opposite of the reciprocal" of the given slope.

"Opposite" means it would have its sign inverted (in our case from positive to negative); and "reciprocal means that instead of 5, it would be its reciprocal: .

We can write this new line with such slope, and try to find its y-intercept (b) by using the given condition that requires it to go through the point (-5,-4) on he plane:

we require then that when , the value of .

Therefore:

Then our final answer is that the new line should have the form:

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step-by-step explanation: