How do you write an equation in point slope form

Asked by admin @ 05/11/2021 in Mathematics viewed by 294 People

How do you write and graph equations in point-slope form?

Answered by admin @ 05/11/2021

Answer:

Point-slope form is: y - y1 = m(x - x1)

To write an equation in point-slope form, you need to find the slope, and a point(x1, y1) on the line.

to find the slope, you need to isolate y on one side of the equation, like this: y = 3x - 2. The slope is 3.
to find a point on the line, you can use the y - intercept: y = 3x - 2. The y - intercept is a point on the line, written as (0, -2).

You can substitute the point and the slope into the equation, like this:

y - y1 = m(x - x1)

y - (-2) = 3(x - 0)

To graph the equation, you can use two points on the line to draw the line. One of the points will obviously be the point you found earlier(in this case, (0, -2)). The other point is ((0 + 1), (-2 + m)) ---> (1, (-2 + 3)) ---> (1, 1)

Using those two points, you can graph the line by drawing a line through the points.

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