Final answer:
The line that passes through the points (-9, 1) and (-8,-4) has the equation y = -5x - 44 in slope-intercept form.
Step-by-step explanation:
The equation of a line in slope-intercept form is y = mx + b, where m is the slope of the line and b is the y-intercept. The slope (m) of a line passing through two points (x1,y1) and (x2,y2) can be calculated using the formula: m = (y2 - y1) / (x2 - x1). For the points (-9, 1) and (-8,-4), the slope is: m = (-4-1) / (-8-(-9)) = -5. We can substitute one of the points and the slope into the equation of the line to find the y-intercept (b). If we use the point (-9,1), we get: 1 = -5*-9 + b. Solving for b gives, b = -44. Therefore, the equation of the line is y = -5x - 44.
Learn more about Slope-Intercept Form