Question 108614
To get the equation of a line, you need two points.
You have two points: (-3,0) and (0,5)
You can use the point-intercept form.
{{{y=mx+b}}}
where m is the slope and b is the y-intercept.
{{{b=5}}}
The formula for the slope is:
{{{m=(y[2]-y[1])/(x[2]-x[1])}}}
{{{m=(5-0)/(0-(-3))}}}
{{{m=5/3}}}
The equation of the line is
{{{y=mx+b}}}
{{{y=(5/3)x+5}}}
Verify the solution with the given points.
{{{y=(5/3)x+5}}}
{{{0=(5/3)(-3)+5}}}
{{{0=-5+5}}}
{{{0=0}}}
True statement.
{{{5=(5/3)(0)+5}}}
{{{5=5}}}
True statement.
Good equation.