Question

Line JK passes through points J(–3, 11) and K(1, –3). What is the equation of line JK in standard form?

Answer 1

Y=-7/2x+1/2
1. find slope
2. plug in slope to y=mx+b
3. take point and plug it in (find a b)
4. plug in slope and b to get equation

Answer 2

Answer:

$\text{The equation is }\frac{14}{4}x+y=1.05$

Step-by-step explanation:

Given that line JK passes through points J(–3, 11) and K(1, –3).

we have to find the equation of JK in standard form.

$\text{The slope of line joining the points }(x_1,y_1)\text{ and }(x_2, y_2)\text{ is given by}$

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

Line JK passes through points J(–3, 11) and K(1, –3).

$m=\frac{-3-11}{1-(-3)}$

$m=\frac{-14}{4}$

Put in slope intercept form

$y=mx+b$

$11=\frac{-14}{4}(-3)+b$

$11\times \frac{4}{42}=b$

$b=1.05$

The equation is

$y=\frac{-14}{4}x+1.05$

$\frac{14}{4}x+y=1.05$

which is required form.