Question

HELP ASAP PLEASE !!! WILL MARK BRAINLEST!!

Use the slope-intercept form of a line, y = mx + b, to answer the following.

Find the equation of the line that has these features:

Slope= 2/5

Passes through the point (-10, -5)

Answer 1

Answer: $y=\frac{2}{5}x-8$

Step-by-step explanation:

By definition, the equation of the line in  slope-intercept form of is:

$y=mx+b$

Where m is the slope and b is the y-intercept.

Then, given the slope 2/5 and the point, (-10, -5), you can calculate the value of b by susbtituting and solve for it:

$-10=\frac{2}{5}(-5)+b\\ -10=-2+b\\b=-8$

Substitute this value and the slope into the equation. THerefore, you obtain:

$y=\frac{2}{5}x-8$