Answer:
x-intercept: [tex]x=\frac{12}{7}[/tex] ≈ [tex]1.714[/tex]
y-intercept: [tex]y=0.48[/tex]
The graph is attached.
Step-by-step explanation:
To find the x-intercept you need to substitute [tex]y=0[/tex] into the equation and solve for "x". Then, this is:
[tex]7x + 25y = 12\\\\7x + 25(0) = 12\\\\7x=12\\\\x=\frac{12}{7}[/tex]
[tex]x[/tex] ≈ [tex]1.714[/tex]
To find the y-intercept you need to substitute [tex]x=0[/tex] into the equation and solve for "y". Then, this is:
[tex]7x + 25y = 12\\\\7(0) + 25y = 12\\\\25y=12\\\\y=\frac{12}{25}\\\\y=0.48[/tex]
Therefore, since the line passes through the points ([tex](1.714,0)[/tex] and [tex](0,0.48)[/tex], you can graph it. (Observe the graph attached)