Derive the equation of the line in slope-intercept form. (1 point) points are at (0,4) & (1,8)

Answer 1

To find the equation of the line in slope-intercept form, we first need to find the slope of the line using the given points (0,4) and (1,8).

Slope (m) = (y2 - y1) / (x2 - x1)
Slope (m) = (8 - 4) / (1 - 0)
Slope (m) = 4 / 1
Slope (m) = 4

Now that we have the slope, we can use the point-slope form of the equation of a line to find the equation in slope-intercept form. The point-slope form is:

y - y1 = m(x - x1)

Using the point (0,4):

y - 4 = 4(x - 0)
y - 4 = 4x
y = 4x + 4

Therefore, the equation of the line in slope-intercept form is y = 4x + 4.