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Determine the equation of the line that has the given slope and passes through the given point

Determine the equation of the line that has the given slope and passes through the-example-1

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3) The equation of a line in slope-intercept form is:

y = mx + b

where m is the slope, and b is the y-intercept.

Substituting with the point (5, 0), that is, x = 5 and y = 0, and m = -1, we get:

0 = (-1)*5 + b

0 = -5 + b

5 = b

Then, the equation of the line is:

y = -x + 5

We can graph the line connecting 2 points. Replacing x = 0 in the above equation, we get:

y = -0 + 5

y = 5

Then, the line passes through the point (0,5)

We also know that the line passes through the point (5,0)

The graph is:

Determine the equation of the line that has the given slope and passes through the-example-1
User HarpreetSingh
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