Question

Find the​ slope-intercept form of the line whose slope is 5 and that passes through the point left (-2,8)

Answer 1

$\text{The slope-intercept form:}\ y=mx+b\\\\\text{m-a slope; b-a y-intercept}$

$\text{We have:}\\m=5\\\text{therefore}\ y=5x+b$

$\text{We know, the line passes through the point}\ (-2;\ 8)\to x=-2;\ y=8\\\\\text{substitute the values of x and y to the equation of the line:}\\\\8=5(-2)+b\\\\8=-10+b\ \ \ |+10\\\\b=18$

$\text{Your answer:}\ y=5x+18$