Question

Which linear equation passes through the points (0, - 2) and (4, 10)?

y = 3x - 2

y = - 1/3x - 2

y = 1/3x - 2

y = - 3x - 2

Answer 1

Y=-1/3x-2 is the answer

Answer 2

Answer:

y = 3x - 2

Step-by-step explanation:

You can easily find the equation of a line through two points by using the point-slope form, $y-y_1=m(x-x_1)$, where m is the slope and $(x_1,y_1)$ is one of the points.

First, let's find the slope of the line through (0, -2) and (4, 10).

$m=\displaystyle \frac{y_2-y_1}{x_2-x_1} = \frac{10-(-2)}{4-0}=\frac{12}{4}=3$

Next, we plug this into point-slope form. Remember that we let (0, -2) be our first point, $(x_1,y_1)$.

$y-(-2)=3(x-0)$

Finally, we rearrange this equation to get the slope-intercept form $y=mx+b$, where b is the y-intercept.

$y+2=3x \\ y=3x-2$

We can verify using the attached graph that both points lie on this line.