Write the slope-intercept from of the equation of the line through the given points
through: (-5,4) and (0,4)
slope = (4-4)/(0+5) = 0
and (0,4) is the y-intercept
y = 0x + 4
or
y = 4
-2(3(2x+8)-4+5equal8x+4(2)-3(2)
To find the slope-intercept form of the equation of a line through two given points, we need to calculate the slope first. The slope of a line is given by the formula:
slope (m) = (y2 - y1) / (x2 - x1)
Let's apply this formula to the given points (-5, 4) and (0, 4):
x1 = -5, y1 = 4
x2 = 0, y2 = 4
Now, substitute these values into the slope formula:
slope (m) = (4 - 4) / (0 - (-5))
slope (m) = 0 / 5
slope (m) = 0
Since the slope is 0, the equation of the line will be in the form y = b, where b is the y-intercept. Now, we need to find the value of b. We can pick either of the given points (-5, 4) or (0, 4) to determine the y-intercept.
Let's choose the point (0, 4) to find b:
y = b
4 = b
So, b = 4. The equation of the line in slope-intercept form is:
y = 4
To summarize, the slope-intercept form of the equation of the line passing through the points (-5, 4) and (0, 4) is y = 4.