Answer:
[tex]y = \frac{5}{2}x-1[/tex]
Step-by-step explanation:
Slope-intercept form is represented by the formula [tex]y = mx + b[/tex]. So, to place the given equation in slope-intercept form, isolate the y on the left side and arrange the terms in that matching order. Remember, whatever you do to one side, do to the other:
[tex]5x-2y = 2\\-2y = -5x + 2\\\frac{-2}{-2}y = \frac{-5}{-2} x+\frac{2}{-2} \\y = \frac{5}{2} x-1[/tex]
So, the slope-intercept form is [tex]y = \frac{5}{2}x-1[/tex].
