Question

Use the interactive to autograph the line given the following information coordinates (1,-3) slope of -2 based on your investigation what is the value of B for the point (0,b)

Answer 1

Answer: -1

Explanation:

Answer 2

the requested point is (0,-1)

Explanation:

The problem is giving you the value of the slope of a line (-2), an also a point that belongs to the line. The question is to find the y-intercept of the line (that is the point at which the line crosses the y-axis.

So we use the point-slope form of a line for a given point
`(x_0,y_0)` which in our case is (1,-3), and slope "m" (in our case "-2":

`y-y_0=m(x-x_0)\\y-(-3)=(-2)(x-1)\\y+3=-2x+2\\y=-2x-1`

by solving for "y" above, we reached the "slope-intercept" form of the line, which shows clearly the value at which the line crosses the y axis: (0,-1)

given that for x=0, y becomes -1