Hello Sky. The slope-intercept formula is y=mx +b, where m is the slope and b is the y-intercept. We know that the slope (m) is -2, x is -5, y is 7, and the y-intercept, b is unknown because it is not mentioned in the problem. We can use the x and y coordinates to find the y-intercept through substitution. Substituting these values into the equation to solve for b gives us:
y=mx+b
7=-2(-5) +b
7=10 +b
-10 -10
-3 = b
The slope-intercept form of the line that passes through the point (-5,7) is: y=-2x-3, where -2 is the slope and -3 is the y-intercept.
