Question

What is the y - intercept of a line that has a slope of 1/4 and passes through point (8, 3)

Answer 1

Substitute the point coordinates into the point slope formula: $y-y_1=m(x-x_1)$. Substitute the slope 1/4 for m, 3 for y_1, and 8 for x_1.

$y-3=1/4(x-8)$, distribute 1/4 inside the parentheses.

$y-3=1/4x-2$, add 3 to both sides.

$y=1/4x+1$; the slope-intercept form of a line is y = mx + b, where b is the y-intercept, so in this line the y-intercept is A. 1.