Write an equation in slope-intercept form for the line with slope −4 and y -intercept −1 . Then graph the line.

Question

 Write an equation in slope-intercept form for the line with slope
−4
and
y
-intercept
−1
. Then graph the line. 

Answer 1

The equation of a line in slope-intercept form looks like:    y=mx+b
      where  m=slope   and    b= y-intercept

Given  m=-4
Given   b = -1

Equation in slope-intercept form is:
  y = -4x -1

You may plot any line by realizing that two points determine a line.  So. find any two points on the line and "connect the dots" and keep on going in each direction.

Often, finding the intercepts (the y-intercept is the place where x=0; the x-intercept is the place where y=0) is pretty easy.  For example, for  y = -4x -1, the intercepts are the points:
     (0,-1)
     (-1/4,0)    or, you could plot the point  (1,-5)

Answer 2

slope intercept form:  y = mx + b

m = slope, b = y-intercept

 

y = -4x - 1

 

You have one point already

(0, -1) which is the y-intercept

 

To graph this just pick another value for x

and solve for y:

Example: Let x= -2

y = -4(-2)-1 = 8-1 = 7

A second point on the line is (-2, 7)

 

Plot the two points and draw a line going

through those two points.