Final answer:
The slope-intercept form of the equation 6x-5y=3 is y = (6/5)x - 3/5.
Step-by-step explanation:
The question asks to write the equation 6x-5y=3 in slope-intercept form. The slope-intercept form of an equation is y=mx+b, where m is the slope and b is the y-intercept. To write the equation in slope-intercept form, we need to solve for y. First, rearrange the given equation to isolate y: -5y = -6x + 3. Next, divide both sides of the equation by -5 to solve for y: y = (6/5)x - 3/5. Therefore, the slope-intercept form of the equation 6x-5y=3 is y = (6/5)x - 3/5.
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