Question

Write the equation of the line that goes through (9/2,1) and (-7/2,7) then graph.

Answer 1

Sorry for the confusion, redoing my answer for you!

Using the points (9/2,1), (-7/2,7)

m=y2−y1 over x2−x1

Substitute in the values of x and y into the equation to find the slope.

m=7−(1)  over  −72−(92)

simplify

m=−3/4

Use the slope −3/4 and a given point (9/2,1) to substitute for x1 and y1 in the point-slope form y−y1=m(x−x1)

y−(1)=−3/4⋅(x−(9/2))

Rewrite in y=mx+b

solve for y

y=−3x/4+35/8

ill use desmos to graph (y=−3x/4+35/8)