Question

11. What is the y-intercept of a line that passes through the point (5,17)and has a slope of 4?1. 172. 113. -34. 465. 2

Answer 1

Solution:

Given the slope, m, and a point, (x,y) the line passes through;

$\begin{gathered} m=4 \\ \\ (x_1,y_1)=(5,17) \end{gathered}$

Using the point-slope equation of a line;

$y-y_1=m(x-x_1)$

Thus;

$\begin{gathered} x_1=5,y_1=17,m=4 \\ \\ y-17=4(x-5) \\ \\ y-17=4x-20 \\ \\ y=4x-20+17 \\ \\ y=4x-3 \end{gathered}$

Thus, the y-intercept of the line is -3.