Question

A line has slope-2 and y-intercept 2 Draw the line on a coordinate grid. Use 2 grid squares to

represent 1 unit for the x interval from-1 to 2 and 1 grid square to represent 1 unit for the y interval
from-2 to 4.

Answer 1

A graph of the equation y = -2x + 2 is shown on the coordinate grid in the picture below.

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;

y = mx + b

Where:

• m represent the slope or rate of change.
• x and y are the points.
• b represent the y-intercept or initial value.

Since the line has a slope of -2 and a y-intercept at 2, a linear equation that models it is given by;

y = -2x + 2

Based on the linear function y = -2x + 2 is in slope-intercept form, we would start by plotting its y-intercept on a graph;

y = -2x + 2

y = -2(0) + 2

y = 2.

Lastly, we would use an online graphing calculator to plot the given linear function for the values in its domain as shown in the graph attached below.