Question

A line passes through the point (0, 57) and has a slope of -5/4. What is the equation of the line?

a) y = -5/4x + 57
b) y = -4/5x + 57
c) y = -5/4x - 57
d) y = 5/4x + 57

Answer 1

The equation of the line passing through the point (0, 57) with a slope of -5/4 is y = -5/4x + 57.

Step-by-step explanation:

To find the equation of a line given a point and a slope, you can use the slope-intercept form of a line, which is y = mx + b. Here, m is the slope and b is the y-intercept. Given the slope -5/4 and the y-intercept 57 (since the line passes through the point (0, 57)), we can plug these values into the slope-intercept form to obtain the equation y = -5/4x + 57.