Answer:
y = -4x - 7
Explanation:
The equation of a line with slope m that passes through the point (x1, y1) is:
[tex]y-y_1=m(x-x_1)_{}[/tex]So, replacing m by -4 and (x1, y1) by (-3, 5), we get:
[tex]\begin{gathered} y-5=-4(x-(-3)) \\ y-5=-4(x+3) \end{gathered}[/tex]Finally, to write the equation in slope-intercept form, we need to solve the equation for y, so:
[tex]\begin{gathered} y-5=-4(x)-4(3) \\ y-5=-4x-12 \\ y-5+5=-4x-12+5 \\ y=-4x-7 \end{gathered}[/tex]Therefore, the equation is:
y = -4x - 7
