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.
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.
1 answer