Question

Write a second equation whose graph goes through (0,1) so the system has no solutions.

Answer 1

To create a system with no solutions using a second equation that passes through (0,1), one would write an equation of a line that is parallel to the first, with the same slope but a different y-intercept.

Step-by-step explanation:

To write a second equation whose graph goes through the point (0,1) and ensures the system has no solutions, the new line must be parallel to the existing one. This means having the same slope but a different y-intercept. For example, if the first equation of the line is y = mx + b where m is the slope and b is the y-intercept, then the second equation for a parallel line that passes through (0,1) would simply change the y-intercept to 1, resulting in y = mx + 1. Since parallel lines never intersect, these two equations would form a system with no solutions.

Answer 2

y = 5x + 1

Step-by-step explanation:

Hello There!

Equations that have no solutions are parallel

So the line we are going to create an equation for has the same slope as the line drawn

To find the slope we do change in y divided by change in x

as y goes 5 x goes up 1

so the slope is 5/1 or 5

The requirements for the equation is it has to go through the points (0,1)

The ordered pair listed is the y intercept so the equation would be

y = 5x + 1