A line passes through the point (8,9) and has a slope of 5/4. Write an equation in slope-intercept form for this line.

y= 1  1/4x -1

Step-by-step explanation:

first, plot the point (8,9)

now lets plot some more points, points that are part of this line.

rise/run 5/4, so 5 up and 4 to the right, and a point on the left, 5 down 4 to the left. I'll do that again, 5 down and 4 to the left. In other problems, do this until you find the y intercept. (which ended up being (0,-1)

slope-intercept form is mx+b

m is the slope, b is the y-intercept

in this case b is -1

the y-intercept coordinate will always have the x value being 0 so it would be (0, varies) which in this case it is (0, -1)

now lets find the value of m.

since the slope, 5/4, can not be simplified to a whole number, it'll just be 1  1/4.

m ends up being 1  1/4.

fill it in, now.

y= 1  1/4x -1

the process to find an equation knowing only a point and the slope for future reference:

plot the points until you find a y intercept (sometimes you have to make a line and find a fraction for a y intercept)

simplify the slope

fill it into mx+b

m=slope

b= y-intercept

hopefully this was helpful

last option

step-by-step explanation:

given that δdef is right and isoceles,

assuming that side df is the hypotenuse means that de an ef are the other 2 sides that intersect at 90° and are of equal length.

because they are of equal length, we can say that they are congruent

because they intersect at 90°, their slopes must be opposite reciprocals.

only the last option satisfies these conditions.

3030 ur welcome

step-by-step explanation: