Question

slope y-intercept form of an equation for a line that has an x-intercept of "-3" and goes through (-2,2)

Answer 1

Answer:

y=2x+6.

Step-by-step explanation:

1) the condition 'an x-intercept of "-3"' means the point A with the coordinates (-3;0), then it is possible to make up the required equation according to the rule (the coordinates (-2;2) belong to the point B):

$2) \ \frac{x-X_B}{X_A-X_B}=\frac{y-Y_B}{Y_A-Y_B}, \ where \ X_A=-2;Y_A=2;X_B=-3;Y_B=0.$

after the substitution the coordinates into the rule:

$\frac{x+3}{-2+3} =\frac{y-0}{2-0}; \ => \ \frac{x+3}{1}=\frac{y}{2}; \ => \ y=2x+6.$