Answer:
The x-intercept is (-35, 0)
Step-by-step explanation:
The equation of a line is y = mx + b.
Find the slope of the line using two points.
Two points: (-57, -34) and (-68, -51)
m = rise/ run = (y₂-y₁)/(x₂-x₁) = (-51--34) / (-68--57) = (-51+34) / (-68+57)
m = 17/11
Substitute a random point (-57, -34) and m=17/11 into the equation of a line.
y = mx + b
-34 = (17/11)(-57) + b
Isolate to find b.
b = -34 + (969/11)
b = 595/11
Sub b=595/11 and m=17/11 into to get the equation of the line.
y = (17/11)x + 595/11
To find the x-intercept, substitute y for 0.
y = (17/11)x + 595/11
0 = (17/11)x + 595/11
Isolate x.
(17/11)x = -595/11
x = (-595/11) ÷ (17/11)
x = (-595/11)(11/17)
x = -6545/187 <= reduce by dividing top and bottom by 187
x = -35
Since we substituted y for 0, y=0.
(-35, 0)
