Write the slope-intercept form of an equation for each line, given either the slope and the y-intercept or the coordinates of two points.
(5, -3) and (-4, -3)
To find the slope-intercept form of an equation, we need either the slope and the y-intercept or the coordinates of two points. In this case, we have the coordinates of two points: (5, -3) and (-4, -3).
Step 1: Find the slope (m) using the formula:
m = (y2 - y1) / (x2 - x1)
Using the coordinates (5, -3) and (-4, -3), we substitute the values into the slope formula:
m = (-3 - (-3)) / (-4 - 5)
= 0 / -9
= 0
Since the slope is 0, the line is horizontal.
Step 2: Find the y-intercept (b) by selecting any of the given points and substituting its coordinates into the slope-intercept form (y = mx + b):
Using the point (5, -3):
-3 = 0(5) + b
-3 = b
So the y-intercept is b = -3.
Step 3: Write the equation using the slope (m) and the y-intercept (b):
y = mx + b
Since the slope (m) is 0 and the y-intercept (b) is -3, the equation in slope-intercept form is:
y = 0x - 3
y = -3
slope intercept is y=mx+b.
Find the slope (m) using the points. (delta y / delta x). Then substitute a point to find b.