5) Write the equation of a line that is parallel to y=-2x+5 and whose y-intercept is -3

## Step 1<br />The given line is \(y = -2x + 5\). The slope of this line is -2. <br /><br />## Step 2<br />Parallel lines have the same slope. Therefore, the slope of the line we are looking for is also -2.<br /><br />## Step 3<br />The y-intercept of the line we are looking for is -3. The y-intercept is the value of y when x = 0. In the equation of a line, \(y = mx + b\), the y-intercept is represented by 'b'.<br /><br />## Step 4<br />Substitute the slope (-2) and y-intercept (-3) into the equation of a line, \(y = mx + b\), to get the equation of the line we are looking for.