Equation for the line that passes through (4, -6) and has the slope 35.

y = 35x - 146

Step-by-step explanation:

You just have to use the point-slope equation of a line which is (y - h) = m(x - k) where (h, k) is the point given and m is the slope given. Therefore, plug in h = 4, k = -6, m = 35 into the equation to get:

(y - ( -6)) = 35(x - 4) which simplifies to

y + 6 = 35x - 140 and if you want it in standard form, it is

y = 35x - 146

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.