Question

Write the equation of the line given the slope and a point through the line passes 1/4,(3,7)

Answer 1

Answer:

[see below]

Step-by-step explanation:

We are given enough information to write the equation in point slope form: $y-y_1=m(x-x_1)$

'm' is the slope

(x1,y1) is the point used

We are given the point of (3,7) and the slope of 1/4.

$y-y_1=m(x-x_1)\rightarrow\boxed{y-7=\frac{1}{4}(x-3)}$

We can also convert the equation into slope-intercept form:

$y-7=\frac{1}{4}(x-3)\\\\y-7=\frac{1}{4}x-\frac{3}{4}\\\\ y-7+7=\frac{1}{4}x-\frac{3}{4}+7\\\\\boxed{y=\frac{1}{4}x+\frac{25}{4}}$