Final answer:
The equation in slope-intercept form with a slope of -4/5 and a y-intercept of -3 is y = (-4/5)x - 3. The question is about writing an equation in slope-intercept form of a line given the slope and y-intercept. In the slope-intercept form y = mx + b, 'm' stands for the slope, which in this case is -4/5, and 'b' stands for the y-intercept, which is -3.
Step-by-step explanation:
The question is about writing an equation in slope-intercept form of a line given the slope and y-intercept. In the slope-intercept form y = mx + b, 'm' stands for the slope, which in this case is -4/5, and 'b' stands for the y-intercept, which is -3. Therefore, the equation of the line with the given slope and y-intercept is y = (-4/5)x - 3.
The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. Given that the slope is -4/5 and the y-intercept is (0, -3), we can substitute these values into the equation to find the equation of the line:
y = (-4/5)x - 3