-4x + 3y = 6.
Rearrange into form y = mx + c.
3y = 4x + 6. Divide by 3.
y = (4/3)x + 2.
Therefore slope, m = (4/3), Y Intercept, c = 2.
X intercept, that is when y = 0.
y = (4/3)x + 2.
0 = (4/3)x + 2.
-(4/3)x = 2.
x = (2*3)/-4 = -3/2 = -1.5. X intercept is = -1.5.
Looking at the pictures, and using y and x intercepts as 2 and -1.5 respectively.
Also note that the slope is positive (4/3) so line climbs upwards from left to right.
Answer =
Graph (a). Cheers.
