Question

Can someone please be generous and help me

Answer 1

Answer:

The point slope form is $y-y_{1} =m(x-x_{1} )$

The slope(m) can be calculated using $\frac{y-y_{1} }{x-x_{1}}$:

$(x, y)=(4,-3)\\(x_{1} ,y_{1} )=(5,0)\\\\\frac{0-(-3)}{5-4} =\frac{0+3}{1} =\frac{3}{1} =3$

Using Point One, the point-slope form is determined as:

$y-(-3)=3(x-4)\\y+3=3(x-4)$

The y-intercept(b) can be calculated as:

$(5,0)\\y=3x+b\\0=3(5)+b\\0=15+b\\b=-15\\(0,-15)$