Question

deltamath
graph the line with the equation y = -2x + 2.
back to home
#60 delta math: graphing lines from equations
50% credit until: december 19 at 9:00 am
grade: 23% complete: 47%
graphing lines from equations
scientific calculator
graphing calculator
clon reid log out

Explanation:

Step1: Find the y - intercept

The equation is in slope - intercept form \(y = mx + b\), where \(b\) is the y - intercept. For \(y=-2x + 2\), when \(x = 0\), \(y=2\). So, one point is \((0,2)\).

Step2: Find another point using the slope

The slope \(m=-2=\frac{\Delta y}{\Delta x}\). From the point \((0,2)\), if \(\Delta x = 1\), then \(\Delta y=-2\). So, the new \(y\) value is \(y=2+( - 2)=0\). Another point is \((1,0)\).

Step3: Plot the points and draw the line

Plot the points \((0,2)\) and \((1,0)\) on the coordinate plane. Then draw a straight line passing through these two points.

Answer:

Plot the points \((0,2)\) and \((1,0)\) and draw a line through them.