Answer:
y = x - 4
Step-by-step explanation:
Given the slope (m) = 1, and the point (7, 3):
We can determine the equation of the line in its slope-intercept form, y = mx + b by plugging in the given numbers to identify the y-intercept.
Let the slope (m) = 1
x = 7
y = 3
We'll plug these values into the slope-intercept form to solve for the y-intercept.
The y-intercept is the point on the graph where it crosses the y-axis. It is also the value of y when x = 0, hence having the coordinates of (0, b).
y = mx + b
3 = 1(7) + b
3 = 7 + b
Subtract 7 from both sides to solve for the y-intercept, b:
3 - 7 = 7 - 7 + b
-4 = b
Therefore, the y-intercept is -4.
Now that we have our slope, m = 1, and the y-intercept (b) = -4, we can establish our linear equation in slope-intercept form:
y = x - 4
