Write a linear equation that does not intersect the graph of y=-2x+3 and has an x-intercept of 1. explain your reasoning.

y =-2x+2

Step-by-step explanation:

We want a line that does not intersect y = -2x+3

It must be parallel to this line, so it must have the same slope  (Parallel lines have the same slope)

The slope is -2

We have an x intercept of 1 (1,0)

The have the slope and a point

We can use the point slope form of a line to write the equation

y-y1 = m(x-x1)

y-0 = -2(x-1)

Distribute

y=-2x+2

y =-2x+2

This is in slope intercept form