Answer:
y = 1.5x
Step-by-step explanation:
y = mx
slope formula: [tex]\frac{y2-y1}{x2-x1}[/tex]
Points: (x1, y1) = (-2, -3)
(x2, y2) = (4, 6)
To find the equation in y = mx form, we need to find the value of m. m is also known as the slope. To find the value of m, input the given points into the slope formula:
[tex]\frac{6-(-3)}{4-(-2)}[/tex]
Simplify:
6 - (-3) = 6 + 3 = 9
4 - (-2) = 4 + 2 = 6
[tex]\frac{9}{6} =\frac{3}{2}=1.5[/tex]
The value of m is 1.5. Now we can write the equation:
y = 1.5x
