WRITE THE SLOPE INTERCEPT FORM OF THE LINE SHOWN IN THE GRAPH. WHICH IS (5,-7)(4,7)
PLEASE SHOW WORK
slope = (7+7)/(4-5) = -14
y = -14 x + b
7 = -14 (4) + b
b = 63
so
y = -14 x + 63
To find the slope-intercept form of a line, you need to know the slope (m) and the y-intercept (b). Given the two points (5,-7) and (4,7), we can calculate the slope using the formula:
m = (y2 - y1) / (x2 - x1)
Let's substitute the coordinates into the formula:
m = (7 - (-7)) / (4 - 5)
m = (7 + 7) / (-1)
m = 14 / -1
m = -14
Now that we have the slope (m), we can proceed to find the y-intercept (b). The slope-intercept form is given by y = mx + b, where m is the slope and b is the y-intercept.
To find b, we substitute one of the given points into the equation. Let's use the point (4,7):
7 = -14(4) + b
Now, let's solve for b:
7 = -56 + b
b = 7 + 56
b = 63
Now that we have both the slope (m = -14) and the y-intercept (b = 63), we can write the slope-intercept form of the line:
y = -14x + 63