Question

what is the equation of the line that passes through the point (3, 7) and has a slope of 1?

Explanation:

Step1: Use point-slope form

$y - y_1 = m(x - x_1)$ where $(x_1,y_1)=(3,7), m=1$

Step2: Substitute values

$y - 7 = 1(x - 3)$

Step3: Simplify to slope-intercept form

$y = x - 3 + 7 = x + 4$

Answer:

$y = x + 4$