Question

Write the slope intercept form of the equation y-1=3/4(x-3)

Answer 1

To write the slope-intercept form of the given equation, y-1=3/4(x-3), isolate the y variable by distributing and then simplify the equation to y=3/4x-5/4.

Step-by-step explanation:

To write the slope-intercept form of the given equation, y-1=3/4(x-3), we need to isolate the y variable on one side of the equation. Firstly, we distribute the 3/4 to the terms inside the parentheses:

y-1=3/4x-9/4

Next, we add 1 to both sides of the equation to get y by itself:

y=3/4x-9/4+1

Simplifying the equation further gives:

y=3/4x-5/4

Therefore, the slope-intercept form of the equation is y=3/4x-5/4.

Answer 2

They've given me m = 4, x1 = –1, and y1 = –6. I'll plug these values into the point-slope form, and solve for "y=":

y – y1 = m(x – x1)

y – (–6) = (4)(x – (–1))

y + 6 = 4(x + 1)

y + 6 = 4x + 4

y = 4x + 4 – 6

y = 4x – 2

Step-by-step explanation: