How do you do this math problem? (Alg 2)?

Question

Question: Write an equation in slope-intercept form for the line that satisfies each set of conditions: Slope 0.5, passes through(6,4)

I have all the answers, so whether or not you give me the answer it doesnt matter, I just want to know how to do it ! PLEASE AND Thank you

Answer 1

I use the point-slope form to find equations and then just make the answer be in slope-intercept

point-slope: y - y1 = m(x - x1)
m = 0.5 and (x1, y1) = (6,4)

y - 4 = 0.5(x - 6)

distribute the 0.5
y - 4 = 0.5x - 3

add the 4 over to get y by itself

y = 0.5x + 1 this is slope-intercept form

Answer 2

When you have a slope and a point, use the following "point-slope" form for the equation of a line:

y - y1 = m(x - x1)

Here m is the slope and (x1, y1) are the coordinates of the point.

With your values of slope (0.5) and point (6, 4) you end up with:
y - 4 = 0.5(x - 6)

You can simplify this if you like by distributing the 0.5 through the parentheses.
y - 4= 0.5x - 3

Now add 4 to both sides so y is alone:
y = 0.5x + 1

This is the answer in "slope-intercept" form, which is another valid way of specifying the equation of a line.