Point slope form of the equation of a line example

Asked by admin @ 28/10/2021 in Mathematics viewed by 317 People

Write the point-slope form of the equation for a line that passes through (–1, 4) with a slope of 2.

The value of x1 is .
The value of y1 is .
The point-slope form of the equation is .

Answered by admin @ 28/10/2021

Point slope is a really easy form for linear equations. It lets you plug in the numbers from a cordinate that the line passes through on the graph and the slope directly. Here is the point slope equation:

$y(2) - y(1) = m(x(2) - x(1)$

(The (2) and (1) next to the x's and y's are suposed to be underneath them. There is also supposed to be an extra parentheses at the end.)

You would replace y(1) with the y value, x(1) with the x value, and m with the slope. For example, if you have a line that crosses through the point (6, 10) with a slope of 3, this is how you would write the equation of the line in point slope form:

$y - 10 = 3(x - 6)$

Now, for this problem, we have the point (1, 4) with a slope of 2. This is the point slope form for the given point and slope:

$y - 4 = 2(x - 1)$

The values of y1 and x1 are the values we plugged into this equation, 4 and 1.

Point slope form of the equation of a line example

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