The slope-intercept form of a line is given by y = mx + b, where m is the slope and b is the y-intercept.
To find the equation of the line in slope-intercept form, we first need to find the slope (m).
The slope (m) is given by the formula:
m = (y2 - y1) / (x2 - x1)
Given the points (0,4) and (1,8), we can substitute the values into the formula and calculate the slope:
m = (8 - 4) / (1 - 0)
m = 4 / 1
m = 4
Now that we have the slope (m), we can substitute it into the slope-intercept form of the line:
y = mx + b
y = 4x + b
To find the y-intercept (b), we can substitute the coordinates of one of the given points into the equation and solve for b.
Let's use the point (0,4):
4 = 4(0) + b
4 = b
Therefore, the equation of the line in slope-intercept form is:
y = 4x + 4
Derive the equation of the line in slope-intercept form. (1 point)
(0,4)and (1,8)
1 answer