Question

Choose the equation that represents the graph below: (1 point)

Graph of a line passing through points 0 comma 4 and 3 comma 0

y = − three fourths x + 4
y = − four thirds x + 4
y = three fourths x − 4
y = four thirds x − 4

Answer 1

y = -(4/3)x+4

Explanation:

The points (0,4) and (3,0) are on a straight line. The equation of the straight line that we have to find.

Here it is clear that the straight line makes X-intercept at (3,0) and Y-intercept at (0,4).

Therefore, the equation of the straight line will be x/3 + y/4 =1 ...... (1)

{Using the intercept form of a straight line which is x/a +y/b =1, where a and b are the lengths of X and Y intercept respectively}

Now, multiplying 4 with both the sides of equation (1), we get,

4x/3+ y =4

⇒ y = -(4/3)x+4. (Answer)

Hence, the second option is correct.