Instructions: Write the equation of the line in Slope-Intercept Form given the information below.Point One =(1,5)=(1,5)Point Two =(−1,1)=(−1,1)Slope-Intercept Form
Question
Instructions: Write the equation of the line in Slope-Intercept Form given the information below.Point One =(1,5)=(1,5)Point Two =(−1,1)=(−1,1)Slope-Intercept Form
Solution
The slope-intercept form of a line is given by the equation y = mx + b, where m is the slope of the line and b is the y-intercept.
Step 1: Find the slope (m) The slope of a line passing through the points (x1, y1) and (x2, y2) is given by the formula:
m = (y2 - y1) / (x2 - x1)
Substituting the given points (1,5) and (-1,1) into the formula, we get:
m = (1 - 5) / (-1 - 1) = -4 / -2 = 2
Step 2: Find the y-intercept (b) We can find the y-intercept by substituting one of the points and the slope into the equation y = mx + b and solving for b. Let's use the point (1,5):
5 = 2*1 + b 5 = 2 + b b = 5 - 2 = 3
So, the equation of the line in slope-intercept form is y = 2x + 3.
Similar Questions
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