Answer:
y = 5x + 7
Step-by-step explanation:
In order to create the equation in slope-intercept form (y = mx + b) we'll need to find the slope and the y-intercept.
To find the slope, we can use this expression: [tex]\frac{y2 - y1}{x2 - x1}[/tex]
First, input the points: [tex]\frac{2 - (-3)}{-1 - (-2)}[/tex]
Solve: [tex]\frac{5}{1}[/tex]
Simplify: [tex]\frac{5}{1}[/tex] = 5
Now we can input the value of the slope into the equation.
y = 5x + b
To find the y-intercept (b), we'll input one of the given points and solve for b.
Input the values of x and y from the given point (-1,3): 2 = 5(-1) + b
Simplify the right side of the equation: 2 = -5 + b
Add 5 to both sides to isolate the b: 7 = b
Now that we know both the slope and the y-intercept, we can put them into the equation and find our answer.
5 = slope 7 = y-intercept
y = 5x + 7
