Question

express x in terms of y, it is being given that 7x-3y=15 , check if the line represented by the equation intersects the y axis at y=-5​

Answer 1

Answer:

First of all, we know that any point (x,y) on the y-axis has zero (0) as its x-coordinate; therefore, the x-coordinate of the point of intersection of the line whose equation is 5x + 3y = 15 and the y-axis is 0.

We also know that the coordinates (x, y) of any point on the given line has to satisfy its equation: 5x + 3y = 15.

Therefore, we can find the y-coordinate of the point of intersection of the line whose equation is 5x + 3y = 15 and the y-axis as follows:

5x + 3y = 15

5(0) + 3y = 15

0 + 3y = 15

3y/3 = 15/3

y = 5

Therefore, the line whose equation is 5x + 3y = 15 intersects the y-axis at the point (0, 5).