Given a line that passes through the points (-2,9) and m=-4 write the equation of this line in each form
Point slope form:
Slope Intercept form:
Point slope form:
The point slope form of a line is y - y1 = m(x - x1), where (x1, y1) are the coordinates of a point on the line, and m is the slope of the line.
Using the given point (-2,9) and the slope m = -4, the point slope form of the line is:
y - 9 = -4(x - (-2))
Simplifying,
y - 9 = -4(x + 2)
Slope Intercept form:
The slope intercept form of a line is y = mx + b, where m is the slope of the line and b is the y-intercept.
Using the given point (-2,9) and the slope m = -4, we need to find the y-intercept.
Using the point slope form, we have:
y - 9 = -4(x + 2)
y - 9 = -4x - 8
y = -4x + 1
So, the slope intercept form of the line is y = -4x + 1.