What is an equation in slope-intercept form for the line that passes through the points (1, -3) and (3, 1)?
(1 point)
• y= 3х + 1
• y = x-3
Y=2x +5
• y= 2x - 5
To find the equation of a line in slope-intercept form, we first need to find the slope.
The slope formula is:
m = (y2 - y1) / (x2 - x1), where the points are (x1, y1) = (1, -3) and (x2, y2) = (3, 1).
Plugging in the values:
m = (1 - (-3)) / (3 - 1)
m = (1 + 3) / 2
m = 4 / 2
m = 2
Now that we have the slope, we can plug it into the point-slope form of the equation. Using the point (1, -3):
y - y1 = m(x - x1)
y - (-3) = 2(x - 1)
y + 3 = 2x - 2
y = 2x - 2 - 3
y = 2x - 5
Therefore, the equation in slope-intercept form for the line passing through the points (1, -3) and (3, 1) is y = 2x - 5.