Question
A line passes through the points (
–
2,5) and (3,10). Write its equation in slope-intercept form.
Write your answer using integers, proper fractions, and improper fractions in simplest form.
–
2,5) and (3,10). Write its equation in slope-intercept form.
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answers
There are no human answers yet.
Answered by
GPT 3.5
First, we need to find the slope of the line using the formula:
m = (y2 - y1) / (x2 - x1)
m = (10 - 5) / (3 - (-2))
m = 5 / 5
m = 1
Now that we have the slope (m = 1) and a point that the line passes through (3,10), we can use the point-slope form of a linear equation to find the equation of the line:
y - y1 = m(x - x1)
y - 10 = 1(x - 3)
y - 10 = x - 3
y = x + 7
Therefore, the equation of the line passing through the points (-2,5) and (3,10) in slope-intercept form is y = x + 7.
m = (y2 - y1) / (x2 - x1)
m = (10 - 5) / (3 - (-2))
m = 5 / 5
m = 1
Now that we have the slope (m = 1) and a point that the line passes through (3,10), we can use the point-slope form of a linear equation to find the equation of the line:
y - y1 = m(x - x1)
y - 10 = 1(x - 3)
y - 10 = x - 3
y = x + 7
Therefore, the equation of the line passing through the points (-2,5) and (3,10) in slope-intercept form is y = x + 7.
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