find the equation (in slope intercept form) of the line with the given slope that passes through the point with the given coordinates slope:-5/8, ordered pair (0,1)
To find the equation of a line in slope-intercept form (y = mx + b), we need to know the slope (m) and a point on the line (x, y). In this case, we are given the slope (-5/8) and the point (0, 1).
Step 1: Plug the given slope (-5/8) into the slope-intercept form equation: y = mx + b
So far, the equation is y = (-5/8)x + b.
Step 2: Use the given point (0, 1) to find the y-intercept (b).
Substitute x = 0 and y = 1 into the equation:
1 = (-5/8)(0) + b
1 = b
So, the y-intercept, b, is 1.
Step 3: Replace the value of b in the equation to get the final equation of the line.
The equation of the line with the given slope and passing through the given point is:
y = (-5/8)x + 1