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Write the equation in slope-intercept form for a line that is parallel to the line y= 5x – 3 and has a y-intercept of 6.

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The equation of a line in slope-intercept form is y = mx + b, where m is the slope of the line and b is the y-intercept.

We know that the line we want to find is parallel to the line y = 5x - 3, which means it has the same slope as that line. Therefore, the slope of the line we want to find is also 5.

We also know that the line we want to find has a y-intercept of 6. So, we can substitute m = 5 and b = 6 into the slope-intercept form equation to get:

y = 5x + 6

Therefore, the equation in slope-intercept form for a line that is parallel to the line y = 5x - 3 and has a y-intercept of 6 is y = 5x + 6.