What is the equation, in point-slope form, for a line that goes through (2, −6) and has a slope of −34 ? plz help
2 answers:
Answer:
y = -34x + 62
Step-by-step explanation:
<u>Use the point slope form: (y - y1) = m(x - x1)</u>
<u />
(y - (-6) = -34(x - 2)
y + 6 - 6 = -34x + 68 - 6
y = -34x + 62
Answer: y = -34x + 62
Slope-intercept form: y = mx + b (m = slope and b = y-intercept).
Since we are given the slope we only need to solve for the y-intercept. (Subsituting x and y with 2, -6 and solving for b.)
y = -34x + b
-6 = -34(2) + b
-6 = -68 + b
-6 + 68 = -68 + 68 + b
62 = b
Now, that we know what the y-intercept is we can put this into the final equation.
y = -34x + 62
Best of Luck!
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