find the equation of the line using the slope formula. Write the final equation using the slopeintercept form. the x intercept is 1, and (x,y) = ( 2, 12) i
Question
1 Answer

1. User Answers Gasaqui
Answer:
[tex]y= 4x + 4[/tex]
Stepbystep explanation:
The slope formula for a straight line is:
[tex]y=mx+b[/tex]
Where, 'm' is the slope and 'b' is the yintercept.
To find the xintercept of a line, we need to equal 'y' to zero, and then solve for 'x'. In this case we know that the xintercept is 1, so we have the point (x1, y1)=(1,0). We are given a second point which is: (x0, y0)=(2, 12).
To find the slope, we use the following formula:
[tex]m = \frac{y1y0}{x1x0} = \frac{012}{1(2)} = 4 [/tex]
Now, The equation of the line is: y  y0 = m(xx0). Then, substituting the values of 'm', 'x0' and 'y0' we have that:
[tex]y  12 = 4(x+2) ⇒ y = 4x8 + 12 ⇒ y= 4x + 4[/tex]
The equation of the line using the slopeintercept form is:
[tex]y= 4x + 4[/tex]