Question 14)
y-intercept is the point where the value of x is zero. So if we substitute x=0 in the given equation, we can find the y-intercept of the given equation.
Equation is:
7x - 3y = -14
Using x = 0, we get:
7(0) - 3y = -14
-3y = -14
so,
y = 14/3
Thus, the y-intercept will be (0,14/3)
Question 15)
In order to convert the given equation to slope intercept form, we isolate y on left hand side of the equation and the rest of the terms on right hand side of the equation.
[tex]3x - 2y = 1 \\ \\
3x - 1 = 2y \\ \\
2y=3x-1 \\ \\
y= \frac{3}{2}x- \frac{1}{2} [/tex]
The above equation is the slope intercept form of the equation. So option D gives the correct answer