Linear and other Functions

Solve the question of and select the option from the choices A through D/E. Check your Answer and view the explanation.

Find the equation for the line goes through the two points below.

$(1, - 2)$ , $(- 3, 6)$

Previous Question

Next Question

Back to Topics

Let P1=(1,−2)andP2=(−3,6).

First, calculate the slope between the two points.

$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} = \frac{6 - (- 2)}{- 3 - 1} = \frac{8}{- 4} = - 2$

Next, use the slope-intercept form to calculate the intercept. We are able to plug in our value for the slope, as well the the values for P₁.

$y = m x + b$

$- 2 = - 2 (1) + b$

$b = 0$

Using slope-intercept form, where we know m=−2 and b=0, we can see that the equation for this line is y=−2x.