y=-2.3x+7.7
What is the equation of the given line in standard form? Use integer coefficients.
y=-2.3x+7.7
2.3x+y = -2.3x+2.3x+7.7
Standard form is 2.3x+y = 7.7
y = -2.3x + 7.7.
2.3x + y = 7.7,
Multiply both sides by 10 to eliminate all decimals:
23x + 10y = 77.
To convert the given equation into standard form with integer coefficients, we need to manipulate it to have the form Ax + By = C, where A, B, and C are integers.
The equation y = -2.3x + 7.7 is in slope-intercept form (y = mx + b), where m is the slope (-2.3) and b is the y-intercept (7.7).
To start, let's multiply the entire equation by 10 to eliminate the decimal:
10y = -23x + 77
Next, let's move 23x to the left side of the equation:
23x + 10y = 77
So, the equation of the given line in standard form with integer coefficients is 23x + 10y = 77.