Question

Rewrite this equation in the form y=ax+b. y+2=0.5x

Answer 1

To rewrite the equation 'y+2=0.5x' in the form 'y=ax+b', you subtract 2 from both sides of the original equation, resulting in 'y = 0.5x - 2'. Here, the slope is 0.5 and the y-intercept is -2.

Step-by-step explanation:

The student has asked to rewrite the equation y+2=0.5x in the form y=ax+b. To do this, we need to solve for y.

Starting with the given equation:

• y + 2 = 0.5x

Subtract 2 from both sides to isolate y:

• y = 0.5x - 2

Now, the equation is in the desired format, where the slope (m) is 0.5, and the y-intercept (b) is -2.

The form y=ax+b is the standard form for a linear equation, where y is the dependent variable, x is the independent variable, a is the slope of the line, and b is the y-intercept, the point where the line crosses the y-axis.