Question

A line through (-2, 1) With slope = 1/4

Answer 1

Answer:

y = 1/4x + 1.5

Step-by-step explanation:

To solve a problem like this we can use the formula y - y1 = m(x - x1), in which y1 is the y coordinate, x1 is the x coordinate, and m is the slope.

Equation:

y - 1 = 1/4(x + 2)

y - 1 = 1/4x + 0.5

y = 1/4x + 1.5

Answer 2

Answer:

$y=\frac{1}{4}x+\frac{3}{2}$

Step-by-step explanation:

A line has the following equation

$y=mx+b\\\\\longrightarrow m=slope\\\\m=\frac{1}{4}\:given\\\\\longrightarrow b= constant\\\\\Rightarrow y=\frac{1}{4}x+b\\\\(-2,1)\rightarrow\:x=-2,\:y=1\\\\(1)=\frac{1}{4}(-2)+b\\\\1=-\frac{1}{2}+b\\\\b=1+\frac{1}{2}\\\\b=\frac{2}{2}+\frac{1}{2}\\\\b=\frac{3}{2}\\\\\Longrightarrow y=\frac{1}{4}x+\frac{3}{2}$