Question

Which equation is the equation of the line, in point-slope form, that has a slope of 1.9 and passes through the point begin (4.5, -1.4)?

Which equation is the equation of the line, in point-slope form, that has a slope of 2 and passes through the point (-8,1)?

Answer 1

Answer:

(a) $y+1.4=1.9(x-4.5)$

(b) $y-1=2(x+8)$

Step-by-step explanation:

If a line passes through a points $(x_1,y_1)$ with slope m, then the point slope form of the line is

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

It is given that the slope of the line is 1.9 and it passes through the point (4.5, -1.4). So, the equation of line in point-slope form is

$y-(-1.4)=1.9(x-4.5)$

$y+1.4=1.9(x-4.5)$

It is given that the slope of the line is 2 and it passes through the point (-8,1). So, the equation of line in point-slope form is

$y-1=2(x-(-8))$

$y-1=2(x+8)$