To find the equation of the line in slope-intercept form, we need to first find the slope (m) and then the y-intercept (b).
Two points on the line are: (1, -5) and (3, 5).
The slope (m) can be calculated using the formula: m = (y2 - y1) / (x2 - x1)
m = (5 - (-5)) / (3 - 1) = 10 / 2 = 5
Now that we have the slope, we can use the point-slope form of a linear equation to find the y-intercept (b):
y - y1 = m(x - x1)
Using the point (1, -5):
y - (-5) = 5(x - 1)
y + 5 = 5x - 5
y = 5x - 5 - 5
y = 5x - 10
Therefore, the equation of the line in slope-intercept form is:
y = 5x - 10
Write the equation of the line in slope-intercept form.
x/1/2/3
y/-5/0/5
1 answer
1 answer