How do you graph #y=-2x+10#?

Question

Eva Abramson · Accepted Answer

The basis for this equation is #y=mx+b#, where #m# is the slope and #b# is the #y#-intercept. So, #y=-2x+10# tells us that the slope is #-2/1# or down #2# units, over #1# unit, and that the #y#-intercept is #10#. So, we start at #(0,10)#. If we go down #2# and over #1#, we subtract #2# from #10# and add #1# to #0# Our new coordinate pair is #(1, 8)#. If we keep going we can make a line, but you should have enough information to make graph graph{y=-2x+10}

Hazel Anglin · Answer

undefined To graph the equation $ y = -2x + 10 $, you can plot points on a Cartesian coordinate system. Start by choosing values for $ x $, such as $ x = 0 $, $ x = 1 $, and $ x = -1 $, and then calculate the corresponding values of $ y $ using the equation. Plot these points on the graph and draw a straight line through them. This line represents the graph of the equation $ y = -2x + 10 $.

Nathan Axel · Answer

undefined To graph the equation $y = -2x + 10$, you can follow these steps:

1. Choose a few values for $x$ to create a table of values. For example, you could choose $x = 0, 1, 2, 3$.

2. Substitute each value of $x$ into the equation to find the corresponding value of $y$. For $x = 0$, $y = -2(0) + 10 = 10$. For $x = 1$, $y = -2(1) + 10 = 8$. For $x = 2$, $y = -2(2) + 10 = 6$. For $x = 3$, $y = -2(3) + 10 = 4$.

3. Plot these points on a coordinate plane. The points are (0, 10), (1, 8), (2, 6), and (3, 4).

4. Draw a straight line through these points. This line represents the graph of $y = -2x + 10$.