Question

equation of the line (6,10) , (-3,-2)

Answer 1

The equation for this line is y=1.3x+2

Answer 2

Answer:

$y=\frac{4}{3}x+2$

Step-by-step explanation:

using two points you can find the slope of the line using the formula $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

plugging in the x- and y- values into the equation above, you'll get:

$m=\frac{-2-10}{-3-6}=\frac{-12}{-9}=\frac{4}{3}$

so far, you have $y = \frac{4}{3}x+b$

using any of the two points, you can solve for b. in this case, the point (-3, -2) is used.

$-2=\frac{4}{3}(-3)+b\\-2=-4+b\\-2+4=-4+b+4\\2=b$

the overall equation is $y=\frac{4}{3}x+2$