Write the equation of the line in slope intercept form (1,-4),(0,1)

Answer 1

To write the equation of the line in slope-intercept form, we need to find the slope and the y-intercept.

The formula for the slope (m) is given by:
m = (y2 - y1) / (x2 - x1)

Using the points (1, -4) and (0, 1), we can calculate the slope:
m = (1 - (-4)) / (0 - 1)
= (1 + 4) / (-1)
= 5 / (-1)
= -5

The formula for the y-intercept (b) is given by:
b = y - mx

Using the point (1, -4) and the slope -5, we can calculate the y-intercept:
b = -4 - (-5)(1)
= -4 + 5
= 1

Therefore, the equation of the line in slope-intercept form is:
y = -5x + 1