Question

Graph the linear equation find three points that solve the equation then plot on graph. -5x+2y=11

Answer 1

1. Solve for y in terms of x:

`- 5x + 2y = 11 \\ + 5x \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: + 5x \\ 2y = 11 + 5x \\ / 2 \: \: \: \: \: / 2 \\ y = (11)/(2) + (5)/(2) x \\ y = (5)/(2) x + (11)/(2)`
I don't know if you can see all that I did, so in the end we got the slope of our line as 5/2, or 2.5, so every 1 unit to the right, we move 2.5 units up. Our slope crosses the y-axis at 11/2, or 5.5.