Question

write an equation in slope-intercept form of the line that passes through the given point and given slope, (-5,-3);slope =-3/5

Answer 1

y=
`(-3)/(5)x-6`

Explanation:

Hi there!

We are given the point (-5, -3), and a slope of -3/5

We want to write the equation of the line in slope-intercept form.

Slope-intercept form is given as y=mx+b, where m is the slope, and b is the y intercept

As we are already given the slope, we can immediately plug it into the equation

y=
`(-3)/(5)x`+b

We need to find b, though

We can use (-5, -3) to help us, as the equation will pass through that line

Substitute the value of x as -5 and the value of y as -3 to solve for b

-3=
`(-3)/(5)*-5+b`

Now, on the right, multiply -3/5 and 5 together

-3=3+b

Subtract 3 from both sides

-6=b

Substitute 6 as b in the equation

y=
`(-3)/(5)x`-6

Hope this helps!