Question

Write the equation of this line in slope intercept form

Answer 1

The equation of the line passing through the points (0, -1) and (4, 0) in slope-intercept form is y = 1/4x - 1.

What is the equation of the line?

The slope-intercept form of a line is given by y = mx + b, where m is the slope and b is the y-intercept.

To find the slope (m), use the formula
`\(m = \frac{{y_2 - y_1}}{{x_2 - x_1}}\)` with the points (0, -1) and (4, 0):

`\[m = \frac{{0 - (-1)}}{{4 - 0}} = (1)/(4)\]`

Now that we have the slope, substitute it into the slope-intercept form along with one of the points (let's use (0, -1)) to find the y-intercept (b):

y = 1/4x + b

-1 = 1/4(0) + b

b = -1

The equation of the line in slope-intercept form is y = 1/4x - 1..