write an equation in slope - intercept form for the line described. passes through $(-1,-10)$, parallel to…

Explanation:

Step1: Determine the slope

The line (y = 7) is a horizontal line. The slope (m) of a horizontal line is (m = 0). Parallel lines have the same slope, so the slope of the required line is also (m = 0).

Step2: Use the point - slope form

The point - slope form of a line is (y - y_1=m(x - x_1)). We have (m = 0), (x_1=-1), and (y_1 = - 10). Substitute these values into the point - slope form: (y-(-10)=0(x - (-1))) (y + 10=0(x + 1)) Since (0(x + 1)=0), the equation simplifies to (y+10 = 0).

Step3: Convert to slope - intercept form

Subtract 10 from both sides of the equation (y+10 = 0). (y=-10)

Answer:

(y=-10)