Question

7. Write the slope-intercept form of the equation of the line through the given point with the given slope. Write answer as y=mx+b. through: (-1, 1), slope = -6 Vour answer

Answer 1

y = -6x - 5

Step-by-step explanation:

The equation of a line with slope m that passes through the point (x1, y1) can be calculated using the following equation:

`y-y_1=m(x-x_1)`

So, replacing (x1, y1) by (-1, 1) and m by -6, we get:

`\begin{gathered} y-1=-6(x-(-1)) \\ y-1=-6(x+1) \end{gathered}`

Now, to write the answer as y = mx + b, we need to solve the equation for y, so we get:

`\begin{gathered} y-1=-6(x)-6(1) \\ y-1=-6x-6 \\ y-1+1=-6x-6+1 \\ y=-6x-5 \end{gathered}`

Therefore, the answer is y = -6x - 5