Question

Alia wants to write the equation of the graphed line in point-slope form. These are the steps she plans to use:

Answer 1

Answer:

The equation of the graph line in point-slope form is $y=2x+1$

Step-by-step explanation:

In last step Alia did not plug the slope,

The procedure to calculate slope as mention below:-

The slope from two point is calculated as ;

$m=\frac{y_2-y_1}{x_2-x_1}$

The given two points are (2,5) and (1,3).

Now, put the points in above slope formula

$m=\frac{3-5}{1-2}$

$m=\frac{-2}{-1}$

$m=2$

so, the slope is m = 2

Slope intercept equation of line through given point is: $y-y_1=m(x-x_1)$

$y-5=2(x-2)$

$y-5=2x-4$

Add both the sides by 5, in above equation,

$y=2x-4+5$

$y=2x+1$

The equation of the graph line in point-slope form is $y=2x+1$

Answer 2

(2,5)(1,3)
slope(m) = (3 - 5) / (1 - 2) = -2/-1 = 2 (2 units up, one unit to the right)

y - y1 = m(x - x1)....using (1,3)
y - 3 = 2(x - 1)....talia's last step is incorrect because she didn't sub in her slope of 2