A student has attempted to graph an equation that contains the point (1, -4) and has a slope of 1/3.

a. What is the correct equation in slope-intercept form?

b. What is the student's error on the graph below?

Question

A student has attempted to graph an equation that contains the point (1, -4) and has a slope of 1/3.

a. What is the correct equation in slope-intercept form?

b. What is the student's error on the graph below?

anonymous · Answer

attachment

amoodarya · Answer

$$y-y_0=m(x-x_0)$$
line passes through point  (x0,y0)
and slope=m

anonymous · Answer

thank you!

amoodarya · Answer

$$y-(-4)=\frac{1}{3}(x-1)$$

amoodarya · Answer

but that line (picture) passes through (1,-4) (2,-1) 
$$m=\frac{\Delta y}{\Delta x}=\frac{y_1-y_0}{x_1-x_0}=\frac{-4-(-1)}{1-2}=+3$$
do you get mistake  ?

anonymous · Answer

not really :(

amoodarya · Answer

you need to write a line  ,with slope of 1/3 not 3 !

anonymous · Answer

oooh okay thanks and is y-4=1/3 x- 1 the correct equation?