Question

Find the equation (in slope-intercept form) of the line with the given slope that passes through the point with the given coordinates.slope: - 4. ordered pair: (-3,5)

Answer 1

y = -4x - 7

Step-by-step explanation:

The equation of a line with slope m that passes through the point (x1, y1) is:

`y-y_1=m(x-x_1)_{}`

So, replacing m by -4 and (x1, y1) by (-3, 5), we get:

`\begin{gathered} y-5=-4(x-(-3)) \\ y-5=-4(x+3) \end{gathered}`

Finally, to write the equation in slope-intercept form, we need to solve the equation for y, so:

`\begin{gathered} y-5=-4(x)-4(3) \\ y-5=-4x-12 \\ y-5+5=-4x-12+5 \\ y=-4x-7 \end{gathered}`

Therefore, the equation is:

y = -4x - 7