Question

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

A, y = -5 x - 1
B, y = 5x + 1
C, y = -5 x + 1
D, -5 x - y = -1

Answer 1

The correct answer is C, y = -5x + 1.

To find the equation of the line in slope-intercept form, we first need to calculate the slope of the line using the coordinates of points A and B:

m = (y2 - y1)/(x2 - x1)
m = (-4 - 1)/(1 - 0)
m = -5/1
m = -5

Now that we have the slope, we can substitute one of the points (let's choose point A) and the calculated slope into the point-slope formula:

y - y1 = m(x - x1)
y - 1 = -5(x - 0)
y - 1 = -5x
y = -5x + 1

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