A line that passes through the point (x,y), with a y-intercept of b and a slope of m, can be represented by the equation y = mx

Question

2 years ago

7

+ b.
A line is drawn on the coordinate plane that passes through the point (3,-6) and has a slope of 4. The y-intercept of the line is

1 answer:

tester [92] · Answer 1 · 2022-11-16T07:42:11+03:00

4 0

Answer:

b=-18

Step-by-step explanation:

If a line that passes through the point $P(x_o,y_o)$ and it has slope $m$ , the equation of the line is:

$y-y_o=m(x-x_o)~=>y=mx+y_o-mx_o~=>b=y_o-mx_o\\\\b=-6-4(3)=-18$