A line having a slope of 3/4 passes through the point (-8,4) write the equation of this line in slope intercept form

Question

A line having a slope of 3/4 passes through the point (-8,4) write the equation of this line in slope intercept form

Answer 1

Remember the slope-intercept form is y = mx + b, where m is slope of the line, and b is where the line crosses the y axis when X = 0

You have m, but you need b. You can use the example coordinate (-8,4) and the slope to find b by plugging them into the equation and solving for b.

y = mx+b

4 = (3/4)(-8) + b

4 = (-6) + b

10 = b -> put this back into the main formula with the slope

So the slope-intercept equation is: y = (3/4)x + 10

You can check your work by plugging the coordinate given in the problem into this equation and making sure it is right.