Question

a line has a slope of -3 and a y-intercept of 5. write the equation of the line in slope-intercept form and explain how you would use the slope and y-intercept to graph the equation?

Answer 1

y = -3x + 5

Explanation:

Since the y-intercept occurs at the point (0,5), you can use that and the point slope equation to find the equation.

This looks like y - 5 = -3 (x - 0);

Solving for y, you get y = -3x + 5;

To graph this equation you would put one point at (0,5), then use the slope to count down three and to the left one to find other points, or you could just plug in numbers for x to find their corresponding y values and plot it like that.

Hopefully this helps- let me know if you have any questions!