Question

Are (2,9) and (-3,-6) both on the line y = 4x + 6? If not, find an equation for the line that does pass through both points.

Answer 1

Answer:

no, y=3x+3

Step-by-step explanation:

plug both points into the equations:

• 9=4*2 +6 -> 9=8+6, doesn't work
• -6=4(-3)+6 -> -6=-6, works

one works but the other doesn't so now we find a line through both points

use the formula (y_2-y_1)/(x_2-x_1) to find the slope:

• (-6-9)/(-3-2)=-15/-5=3

y=3x+b, plug in a point to find b:

• 9=3(2)+b
• 9=6+b
• b=3
• y=3x+3