Final answer:
To find the equation of the line parallel to y = 1x + 7 that goes through (-2, 3), use the fact that parallel lines have the same slope. Substitute the coordinates of the given point into the equation to find the y-intercept.
Step-by-step explanation:
Using the knowledge that parallel lines have the same slope, we can obtain the equation of a line parallel to y = 1x + 7 that passes through the point (-2, 3). The slope of the given line is 1. The parallel line's equation is therefore y = 1x + b, where 'b' denotes the y-intercept. Enter the supplied point's x and y coordinates into the equation to find 'b'. 3 is equal to 1(-2) + b. We determine b = 5 by solving for 'b'. Consequently, y = 1x + 5 is the equation of the line passing through (-2, 3) that is parallel to y = 1x + 7.