Question

The slope of the line below is 2. Write a point-slope equation of the line using the coordinates of the labeled point( 3,10)

Answer 1

Answer:

Point slope form of the line is  $y-10=2(x-3)$

Step-by-step explanation:

The point-slope form of a line is given as:

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

Where,

• $m$ is the slope, and
• $(x_1,y_1)$ is the x point and y point respectively

The question tells us the slope is 2, hence $m=2$ and the point given is (3,10) which means $x_1=3$ and $y_1=10$. Substituting these values into the point slope form of a line gives us:

$y-(10)=2(x-(3))\\y-10=2(x-3)$

Hence, point slope form of the line is  $y-10=2(x-3)$