Write the equation of a line parallel to the line whose equation is 3y+5x=6 and whose y-intercept is4

Step-by-step explanation:

Step 1: rewrite the equation of the given line in to slope-intercept form by solving for y

3y + 5x = 6

3y = - 5x + 6 (subtract 5x from both sides)

y = - (5/3) x + 2 (divide both sides by 3)

Step 2: Our line is parallel to this line, so it has the same slope, and a

y-intercept of 4, so we have ...

y = - (5/3) x + 4

*slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept,