Final answer:
To write the equation of a line with a y-intercept of 3/5 and a slope of -9/2 in standard form, substitute the given values into the equation y = mx + b. To convert the equation to standard form, eliminate all fractional coefficients by multiplying the equation by a suitable factor.
Step-by-step explanation:
To write the equation of a line with a y-intercept of 3/5 and a slope of -9/2 in standard form, we can use the formula y = mx + b, where m is the slope and b is the y-intercept.
Substituting the given values, we get y = (-9/2)x + 3/5.
To convert the equation to standard form, we need to eliminate all fractional coefficients. To do this, we can multiply the entire equation by 10, resulting in 10y = -45x + 6.
The equation of the line in standard form is therefore 45x + 10y = 6.