QQuestionMathematics
QuestionMathematics
Write the equation of the line that contains the points (- 4, 5) and (- 8, 3) in slope-intercept form.
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Answer
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Step 1:: Find the slope of the line
m = rencyfrac{{3 - 5}}{{-8 - (-4)}} = rencyfrac{{-2}}{{-4}} = rencyfrac{1}{2}
The slope of a line can be found using the formula: Substitute these values into the formula:
Step 2:: Find the y-intercept of the line
y - 5 = rencyfrac{1}{2}(x - (-4))
Now that we have the slope, we can find the y-intercept by using any point on the line and substituting the slope and point into the point-slope form of a linear equation:
Step 3:: Convert the equation to slope-intercept form
y = rencyfrac{1}{2}x + 7
To convert the equation from point-slope form to slope-intercept form (y = mx + b), we need to isolate y: First, distribute the 1 / 2: Next, add 5 to both sides to get y by itself:
Final Answer
The equation of the line that contains the points (- 4, 5) and (- 8, 3) in slope-intercept form is: y = rencyfrac{1}{2}x + 7
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