Question

A line has a slope of – 3 4 and passes through the point (5, – 4). Write its equation in slope-intercept form.

Answer 1

y = -3/4 x − 1/4

Explanation:

Start with point-slope form:

y − y₀ = m (x − x₀)

where m is the slope and (x₀, y₀) is a point on the line.

Then convert to slope-intercept form:

y = mx + b

where m is the slope and b is the y-intercept.

y + 4 = -3/4 (x − 5)

y + 4 = -3/4 x + 15/4

y = -3/4 x − 1/4