Write an equation that contains the point (4,7) and in which the slope equals 1
The slope-intercept form of a linear equation is y = mx + b, where m represents the slope and b represents the y-intercept.
Given that the slope is 1 and the point (4,7) lies on the line, we can substitute these values into the equation:
7 = 1(4) + b
Now, solve for b:
7 = 4 + b
b = 7 - 4
b = 3
Thus, the equation that satisfies the conditions is y = x + 3.