Final answer:
To write the equation in point-slope form, you need to find the slope and use one of the given points. The equation in point-slope form is y - (-4) = (3/2)(x - (-4)). To convert it to slope-intercept form, isolate y and simplify to y = (3/2)x + 2.
Step-by-step explanation:
To write the equation in point-slope form, we use the formula: y - y1 = m(x - x1), where (x1, y1) is a point on the line, and m is the slope. Let's use the points (-4, -4) and (2, 5) to find the equation.
Slope (m) = (5 - (-4)) / (2 - (-4)) = 9/6 = 3/2
Now, using the point-slope form:
y - (-4) = (3/2)(x - (-4))
Simplifying, we get: y + 4 = (3/2)(x + 4)
To convert this equation to slope-intercept form (y = mx + b), we need to isolate y. Let's simplify further:
y + 4 = (3/2)x + 6
y = (3/2)x + 2
Learn more about Converting equations to different forms - Point-Slope form and Slope-Intercept form