Find the slope and write an equation of the line which passes through the points. (−3, 9) and (−3, −5)

Slope: undefined

Equation: x=-3

Step-by-step explanation:

To find the line that passes through the points, you first want to find the slope.  The formula for slope is . Once we have the slope, we can use any given point to plug in to find the y-intercept.

We can see that the slope is undefined. If we look at the point, we notice that they both have the same x-coordinate. This let's us know that the equation is x=-3.

First, we want to find the point of intersection of y=2x-5 and y= -x+1 by solving a system of equations. we can use the substitution method, since both equations are already solved for y: 2x-5=-x+13x=6x=2now we can plug in this x value to one of the original equations to find the y value: y=(-2)+1y=-1therefore, our point of intersection is (2,-1). we can now plug this into the equation y=kx-4 to solve for k because we know that the line must pass through this point: -1=k(2)-43=k(2)k=2/3