Answer:
y = 2x + 1
Step-by-step explanation:
Remove the negative sign-
*NOTE: when you divide the fraction of y2-y1 over x2-x1*
Slope-intercept form: y = mx + b
[m is the slope, b is the y-intercept or the y value when x = 0 --> (0, y) or the point where the line crosses through the y-axis]
To find the slope(m), use the slope formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] And plug in the two points
(-2, -3) = (x₁, y₁)
(1, 3) = (x₂, y₂)
[lines go from left to right, so the point furthest to the left is the 1st point]
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{3-(-3)}{1-(-2)}[/tex] [two negative signs cancel each other out and become positive]
[tex]m=\frac{3+3}{1+2}[/tex]
[tex]m=\frac{6}{3}[/tex]
m = 2 Now that you know the slope, plug it into the equation
y = mx + b
y = 2x + b To find b, plug in either of the points into the equation, it doesn't matter which, I will use (1, 3)
3 = 2(1) + b Subtract 2 on both sides to get "b" by itself
3 - 2 = 2 - 2 + b
1 = b
y = 2x + 1
