Answer:
C. 3x + 4y = 10
Explanation:
We shall change all the equation to the slope-intercept form, to get their slope and intercept.
To do the above, we will change it to the form y=mx + c
option A
4x + 3y = -10
subtract 4x from both-side of the equation
4x-4x + 3y = -4x - 10
3y = -4x - 10
Divide through the equation by 3
y = -4/3 x - 10/3
comparing the above equation with y=mx + c
The slope(m) is -4/3 and the intercept(c) is -10/3
OPTION B
4x + 3y = 10
Its almost the same with option A, except with the fact that the 10 is having a positive sign. This implies that its slope m = -4/3 and intercept(c) =10/3
OPTION C
3x + 4y = 10
Subtract 3x frrom both-side of the equation
3x - 3x + 4y =-3x + 10
4y = -3x + 10
Divide through the equation by 4
4y/4 = -3x /4 + 10/4
y = -3/4x + 5/2
Comparing the above equation by y=mx + c
The slope (m) =-3/4 and the intercept(c) =5/2
Therefore the equation which describe a line having a slope of -3/4 and y-intercept 5/2 is 3x + 4y = 10