Question

Find the equation of the line using the point-slope formula. Write the final equation using slope-intercept form. (1,2) with a slope of -6/7

Answer 1

Answer:

$y-2=\displaystyle-\frac{6}{7}(x-1)$

or

$y=\displaystyle-\frac{6}{7}x+\frac{20}{7}$

Step-by-step explanation:

Hi there!

Point-slope form: $y-y_1=m(x-x_1)$ where m is the slope and $(x_1,y_1)$ is a point that falls on the line

Plug in the slope, -6/7, and the given point, (1,2):

$y-2=\displaystyle-\frac{6}{7}(x-1)$

To write the equation in slope-intercept form, isolate y:

$y-2=\displaystyle-\frac{6}{7}(x-1)\\\\y-2=\displaystyle-\frac{6}{7}x+\frac{6}{7}\\\\y=\displaystyle-\frac{6}{7}x+\frac{6}{7}+2\\\\y=\displaystyle-\frac{6}{7}x+\frac{20}{7}$

I hope this helps!