Respuesta :
Answer:
y= -0.5x+3
Step-by-step explanation:
2y=-x+6
next step is to divide all sides by 2, so y can be alone on one side:
y= -0.5x+3
Answer:
Step-by-step explanation:
To solve the equation 2y = -x + 6 for the line, we need to rearrange the equation in slope-intercept form, which is y = mx + b.
Step 1: Start by isolating y on one side of the equation. To do this, divide both sides of the equation by 2:
2y/2 = (-x + 6)/2
Simplifying the equation gives:
y = -0.5x + 3
Step 2: Now we have the equation in slope-intercept form, where the coefficient of x (-0.5) represents the slope and the constant term (3) represents the y-intercept.
The slope of the line is -0.5, which means that for every increase of 1 unit in x, y decreases by 0.5 units. Conversely, for every decrease of 1 unit in x, y increases by 0.5 units.
The y-intercept is 3, which means that the line intersects the y-axis at the point (0, 3).
So, the equation 2y = -x + 6 represents a line with a slope of -0.5 and a y-intercept of 3.
