Write an equation in slope-intercept form that satisfies the information given about the line
Goes through the points (-2, 5) and (4, 11)
The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.
To find the slope, we use the formula:
m = (y2 - y1) / (x2 - x1)
Given the points (-2, 5) and (4, 11), we have:
m = (11 - 5) / (4 - (-2)) = 6 / 6 = 1
Now that we have the slope, we can substitute it into the equation along with one of the points to find the y-intercept.
Using the point (-2, 5), we have:
5 = (1)(-2) + b
5 = -2 + b
b = 5 + 2
b = 7
Therefore, the equation of the line that satisfies the information given is:
y = x + 7