what is the equation of the given line in standard form use integer coefficients
y=-1.7x+8.5
To convert the equation of the line from slope-intercept form (y = mx + b) to standard form (Ax + By = C), we need to get rid of any decimal coefficients.
Given: y = -1.7x + 8.5
To eliminate the decimal coefficient, we can multiply the entire equation by 10 to make it a whole number:
10y = -17x + 85
Now, rearrange the equation by moving the variables to one side and the constant term to the other side:
17x + 10y = 85
The equation of the given line in standard form with integer coefficients is 17x + 10y = 85.
To write the equation of the given line in standard form with integer coefficients, we need to eliminate any decimal coefficients.
Given: y = -1.7x + 8.5
To eliminate the decimal coefficient, we can multiply every term by 10 to clear the decimal places.
10y = 10(-1.7x + 8.5)
10y = -17x + 85
Now, let's rearrange the equation to have the x and y terms on the same side and a constant on the other side:
17x + 10y = 85
Finally, we can divide the entire equation by the greatest common divisor (GCD) to obtain integer coefficients. In this case, the GCD is 17, so dividing every term by 17:
x + (10/17)y = 5
Therefore, the equation of the given line in standard form with integer coefficients is:
x + (10/17)y = 5
To write the equation of the given line in standard form using integer coefficients, you need to manipulate the equation to remove any decimal coefficients.
Given equation:
y = -1.7x + 8.5
To remove the decimal coefficient, multiply every term in the equation by 10 to get rid of the decimal point:
10y = -17x + 85
Now, rearrange the equation to have the variables on one side and the constant on the other side:
17x + 10y = 85
Thus, the equation of the given line in standard form with integer coefficients is 17x + 10y = 85.