Answer:
y=2x+3
Explanation:
See attached worksheet.
Guidelines are presented on how to both graphically and mathematically solve for the equation.
Graphing: Mark the the two given points and connect them with a ruler to form the line. These same two points may be used to determine the slope, as is shown. The slope is 2. The line intersects the y axis at 3, so the y-intercept is 3. Using the standard form of an equation, the line is y = 2x + 3, as is outlined in the attachment.
The same line is determined mathematically by using the same technique for calculating slope. The value of the y-intercept may be found by using one of the two given points in the equation that has the slope of 2:
y= 2x +b
Enter pont (-1,1), for example, and calculate the value of b. b = 3, (since 1 = 2*(-1)+ b, so b=3).
The equation of this line is y=2x+3