Question

Write the equation of the line with a slope of 1/2 that passes through the point (-6,10)​

Answer 1

An equation is

`y = (1)/(2) x + 13`

.

Explanation:

☆Since since we're given the slope, all we need to do is find the y-intercept.

☆The slope-intercept formula is: y = mx + b.

☆We are going to plug in according to the formula.

`y = mx + b \\ \\ 10 = (1)/(2) ( - 6) + b \\ 10 = - 3 + b \\ ( + 3 = + 3 \: \: \: \: \: \: \: \: \: )/(13 = b \: \: \: \: \: \: \: \: \: \: \: )`

☆We have everything we need, so now we put it together.