Respuesta :

Answer: Choice D

Explanation:

I'll use the point-slope form to get the following

[tex]y - y_1 = m(x - x_1)\\\\y - 1 = \frac{3}{4}(x - (-4))\\\\y - 1 = \frac{3}{4}(x + 4)\\\\y - 1 = \frac{3}{4}x + \frac{3}{4}*4\\\\y - 1 = \frac{3}{4}x + 3\\\\y = \frac{3}{4}x + 3 + 1\\\\y = \frac{3}{4}x + 4 \ \ \text{... matches with choice D}\\\\[/tex]

You should find that plugging x = -4 into equation D will lead to y = 1 as a way to confirm the answer.

mathstudent55

Answer:

D

Step-by-step explanation:

m = 3/4

point: (-4, 1)

We can use the slope-intercept form. We know one point, so we can use its coordinates for x and y. We also know the slope, so we use the slope for m. Then we solve for b.

y = mx + b

Substitute m with the slope.

y = (3/4)x + b

Use the x-coordinate of the given point for x and the y-coordinate of the given point for y.

1 = (3/4)(-4) + b

Solve for b.

1 = -3 + b

b = 4

Now that we know the value of b, we can write the equation of the line.

y = mx + b; m = 3/4; b = 4

y = 3/4 x + 4

Answer: D