Answer:
Equation is 4y = -3x + 12
Step-by-step explanation:
General equation of a line:
[tex]y = mx + c[/tex]
for the slope:
[tex]slope = \frac{y_{2} - y_{1} }{x _{2} - x_{1} } [/tex]
consider points: (4, 0) and (0, 3)
[tex]slope = \frac{3 - 0}{0 - 4} \\ \\ slope = - \frac{3}{4} [/tex]
for y-intercept, c :
[tex]y = mx + c[/tex]
consider point (0, 3):
[tex]3 = ( - \frac{3}{4} \times 0) + c \\ \\ c = 3 \\ c = 3[/tex]
Equation is:
[tex]y = - \frac{3}{4} x + 3 \\ \\ 4y = - 3x + 12[/tex]
