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.
