Step 1: Find the slope
Slope formula = (y2 - y1) / (x2 - x1)
---You can choose any two points when finding the slope!
Point 1 = (-2,-10)
Point 2 = (-1,-3)
Slope = (-3 - - 10) / (-1 - - 2)
Slope = 7 / 1
Slope = 7
Step 2: Find the y-intercept
Now that we have the slope, we'll plug that and one point into slope-intercept form. Then, we'll solve for b.
Slope-Intercept Form: y = mx + b
---m is the slope, b is the y-intercept
Point = (-1, -3)
Slope = 7
-3 = 7(-1) + b
-3 = -7 + b
b = 4
Step 3: Put it all together
Now that we know the slope and y-intercept, all that's left to do is plug them into slope-intercept form.
Slope-Intercept Form: y = mx + b
Slope = 7
Y-Intercept = 4
Line: y = 7x + 4
Correct Answer: A
Hope this helps!
