I need to know how to get the slope intercept form

[tex]a.)\ 9y - 4x = 5.....y=mx+b\\ \\9y=4x+5\\ \\y= \frac{4}{9}x+ \frac{5}{9}\\ \\ \text{The slope-intercept form is}\ m=\frac{4}{9}\\ \\y-intercept\ (b) \to When\ x=0\\ \\y= \frac{4}{9}(0)+ \frac{5}{9}=\frac{5}{9} \to (0,\frac{5}{9})\\ \\x-intercept \to When\ y=0\\ \\0= \frac{4}{9}x+ \frac{5}{9}.....multiplied\ by\ 9\\ \\0=4x+5 \\4x=-5 \\x=- \frac{5}{4} \to (-\frac{5}{4},0)[/tex]

[tex]b.)\ 5x+y=15\\ \\y=-5x+15\\ \\\text{The slope-intercept form is}\ m=(-5)\\ \\y-intercept\ (b) \to When\ x=0 \\ \\ y=-5x+15 \\ y=-5(0)+15 \\ y=15..........................(0,15) \\ \\ x-intercept \to When\ y=0\\ \\0=-5x+15 \\ 5x=15 \\ x=3.............................(3,0)[/tex]

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