Your friend calculates the distance between points Q(1,5) and R(3,8), as shown below. What is his error?

y=-4x+3

Step-by-step explanation:

First thing we have to do is find the slope. to do that we need to convert these points into an equation. the equation is 0-4 over 3-2 first find 0-4 which is -4. now 3-2 which is 1. now what is -4 divided by 1? -4. that makes -4 our slope.

second, we need to find the y-intercept. our y-intercept in this situation is already given to us. a y-intercept is a point that falls on the y-axis and since the point (0,3) has an x value of 0, that point is the y-intercept. making the final number for it be 3.

next, we build the equation. use the equation y=mx+b and substitute in the values the y and x are values for a point on the line that the equation represents. the m is the slope and the b is the y-intercept. you will only substitute in your slop and y-intercept in this situation. y=-4x+3.

lastly, we check our answer. you can substitute in our other point into the x and y values in the equation. then the equation would be 2=(-4x4)+3. if this equation is correct, (which it is) then you have correctly found the equation.

hope this helps :)