y=-7x+9 fill in x and y so the following linear equation has infinite solutions.
To find the values of x and y that make the equation y = -7x + 9 have infinite solutions, we need to make sure that the equation represents a line with a slope of -7.
Since the equation is already in slope-intercept form (y = mx + b), we can see that the slope is -7.
For the equation to have infinite solutions, it means the line should be the same as the x-axis (horizontal line) since every point on the x-axis satisfies the equation.
The equation of the x-axis is y = 0.
Therefore, to make y = -7x + 9 have infinite solutions, we set y = 0.
0 = -7x + 9
Simplifying this equation, we get:
7x = 9
Dividing both sides by 7, we find:
x = 9/7
So, when x = 9/7, the equation y = -7x + 9 has infinite solutions.