Question

Which 2 of the following are correct equations of the line passing through (2, -3) with a slope of five?

y+3 = 5 (x-2)

y= 5x -3

y= 5x + 13

y-3= 5 (x+2)

y= 5x -13

Answer 1

The two equations that passes through (2, -3) and has a slope of five are:

y + 3 = 5(x - 2) and y = 5x - 13

Explanation:

For the first equation, you get y equal to itself. To do that, you need to simplify the right side of the equation. For 5(x - 2), you will distribute the 5 to the x and -2, equalling to 5x - 10. Next, we subtract 3 from both sides to cancel out the 3 on the left side. The equation is now y = 5x - 13. The -13 is the y intercept so we start at the point (0, -13). Since the slope goes up by 5 for every one point it moves to the right, it will eventually reach the point (2, -3). In other words, you add 1 to the x value and 5 to the y value. The points will look like this: it starts at (0, -13) and goes to (1, -8) and goes to (2, -3). The second equation is equivalent to the first equation. Hopefully this helps you out!