Find an equation for a line that has a slope of -13 and contains (-7, 2)
Answer choices
1. y = -13x - 89
2. y = 13x + 93
3. y = -13x + 19
4. y = 13x - 33
1. 2 = (-13 * -7) - 89
It is answer 1.
y-2 = -13(x+7)
To find the equation of a line, you can use the slope-intercept form, which is given by the equation y = mx + b. Here, m represents the slope of the line, and b represents the y-intercept (the value of y when x = 0).
In this case, the slope is given as -13, and the line contains the point (-7, 2).
To find the equation, we can substitute the given values into the slope-intercept form and solve for b:
2 = -13(-7) + b
Simplifying this equation gives:
2 = 91 + b
To isolate b, we can subtract 91 from both sides:
2 - 91 = b
-89 = b
Now that we have the value of b, we can plug it back into the slope-intercept form to get the equation:
y = -13x - 89
So, the correct answer choice is 1. y = -13x - 89.