Question

Find the y-intercept of the line 14x–16y=–10.

a) 5/8
b) 8/5
c) −5/8
d) −6/5

Answer 1

The y-intercept of the line 14x–16y=–10 is found by setting x to 0 and solving for y, yielding a y-intercept of 5/8, corresponding to option (a).

Step-by-step explanation:

To find the y-intercept of the line given by the equation 14x–16y=–10, we need to set the value of x to 0 and solve for y. This will give us the point at which the line crosses the y-axis.

The equation then becomes:

• 14(0) – 16y = –10
• 0 – 16y = –10
• –16y = –10
• y = –10 / (–16)
• y = 10/16
• y = 5/8

So, the y-intercept of the line is 5/8, which corresponds to option (a).