Question

A line passes through the point (-4,9) and has a slope of 5/2

Write an equation in slopeintercept form for this line.

Answer 1

To write the equation in slope-intercept form, we use the given slope and point. The equation is y = (5/2)x + 19.

Step-by-step explanation:

To write the equation in slope-intercept form, we need to use the given slope, 5/2, and the given point, (-4,9).

Let's label the slope as m and the y-intercept as b.

Using the slope-intercept form y = mx + b, we can substitute the values to get the equation:

y = (5/2)x + b

Now, we can substitute the coordinates (-4,9): 9 = (5/2)(-4) + b

Simplifying the equation, we have:

9 = -10 + b

b = 19

So the equation of the line in slope-intercept form is y = (5/2)x + 19.