[tex]y=3x+1 \\To \ find \ the \ y-intercept, \ i \ set \ x \ equal \ to \ zero \ and \ solve:\\\\y=3*0\\y=1\\\\Then \ the \ y-intercept \ is \ the \ point \ (0, 1)[/tex]
[tex]To \ find \ the \ x-intercept, \ i \ set \ y \ equal \ to \ zero, \ and \ solve: \\0=3x+1\\3x=-1\ \ / :3\\ x=-\frac{1}{3}\\\\Then \ the \ x-intercepts \ are \ at \ the \ point \ ( -\frac{1}{3}, 0)[/tex]
[tex]y=-4x-5 \\x=0 \\y=-4*0-5\\y=-5 \\\\Then \ the \ y-intercept \ is \ the \ point \ (0, -5)[/tex]
[tex]y=0\\0=-4x+5\\4x=5 \ \ /:4\\x=\frac{5}{4}\\\\Then \ the \ x-intercepts \ are \ at \ the \ point \ ( \frac{5}{4}, 0)[/tex]