Write the equation of the line with given properties, in slope-intercept form. slope=-5,through(-4,1)

Question

Alegbra Homework

Answer 1

The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept.  So, we have y = -5x + b.  Since (-4, 10 ) is a point on the line, we can "plug in" -4 for x and 10 for y into our equation to obtain 10 = -5(-4) + b.  So, 10 = 20 + b.  Therefore, b = -10.

 

The equation is:  y = -5x -10