Question

Help which is an equation of the line through (0,0) and (9,-4)?

a. y = (-9/4)x
b. y = (4/9)x
c. y = (-4/9)x
d. y = (9/4)x

Answer 1

The equation of the line that passes through the points (0,0) and (9,-4) is found by calculating the slope, which is -4/9. Since the line passes through the origin, the equation is y = (-4/9)x. Therefore, the correct answer is option c, y = (-4/9)x.

Step-by-step explanation:

To find the equation of the line that goes through the points (0,0) and (9,-4), we can use the formula for the slope of a line (m), which is the change in y divided by the change in x. The slope can be calculated as follows:

m = (y2 - y1) / (x2 - x1)

Plugging the points into the formula, we get:

m = (-4 - 0) / (9 - 0) = -4 / 9

Since one of the points is the origin (0,0), the equation of the line is simply y = mx. Therefore, the equation of the line is:

y = (-4/9)x

The correct answer is option c. y = (-4/9)x.