JonF said:y - 5 = -2(x-(-3) ) Does NOT turn into y - 5 = -2x + 3?
Deal with the double negative first, then distribute the -2 to ALL terms it’s multiplied by, so:
y - 5 = -2(x-(-3) ) -> y - 5 = -2(x+3) -> y - 5 = -2x-6 -> y= -2x-1
You're not getting rid of y - 5 - you're just isolating y to get it all by itself. Yes, you add 5 to both sides.nukeman said:wow, thanks. That makes much more sense!
ok so y - 5 = -2x-6
now you to get rid of the y - 5, you ad 5 to both sides correct?
nukeman said:y= -2x-1
A quick linear equation is a mathematical expression that represents a straight line on a graph. It is typically written in the form y = mx + b, where m is the slope of the line and b is the y-intercept.
To find the equation of a line, you need to know the slope (m) and y-intercept (b) of the line. You can then plug these values into the equation y = mx + b to get the equation of the line.
Knowing the equation of a line allows you to easily plot the line on a graph and make predictions about the relationship between the x and y values. It also helps in solving real-world problems and understanding the behavior of linear systems.
The slope (m) is a measure of how steep or flat a line is. It determines the rate of change between the x and y values. A larger slope means a steeper line, while a smaller slope means a flatter line. The slope also determines the direction of the line - a positive slope goes up from left to right, while a negative slope goes down from left to right.
Yes, you can have a horizontal or vertical line as the equation of a line. A horizontal line has a slope of 0 and its equation would be y = b, where b is the y-intercept. A vertical line has an undefined slope and its equation would be x = a, where a is the x-intercept.