Question

What is the equation of the line that passes through (0, 3) and (7, 0)?

A. (Image 093047)
B. (Image 093055)
C. (Image 093108)
D. (Image 093116)

Answer 1

`y = -(3)/(7)x + 3`

Explanation:

In order to find the equation of a line, we need to first find the slope. Slope is represented by the formula:

`(y_(2)-y_(1) )/(x_(2) - x_(1) )`

where (x1, y1) and (x2, y2) are point on the line. In this case, we can use the points (0, 3) and (7, 0):

`(0-3)/(7-0) = -(3)/(7)`

The point (0, 3) is the y-intercept, so given an equation in the form y = mx + b, 3 would be b and we already calculated the slope, which is m. We can plug these values in to get:

`y = -(3)/(7)x + 3`

Answer 2

Image A

Y intercept is positive 3 so it can’t be B or C. To get from (0, 3) to (7, 0) you need to go down 3 and right 7. Image A has the only slope that can do that