Question

a wall is being painted with a mural designed on a coordinate plane with units of feet. a designer paints a stripe on the wall at a slope of 8, intersecting a point on the wall that is (left to right) 8 feet along the wall, and 5 feet up from the floor. where ( x ) represents horizontal distance in feet and ( y ) represents the vertical distance in feet, what is a linear function in point - slope form that models this path? (fill each blank with an integer. any fractions should be in simplest form, and in improper form if necessary)( y-square=square(x - square) )

Explanation:

Step1: Recall point-slope formula

The point-slope form of a linear equation is $y-y_1=m(x-x_1)$, where $m$ is the slope, and $(x_1,y_1)$ is a point on the line.

Step2: Identify given values

Slope $m=8$, point $(x_1,y_1)=(3,5)$

Step3: Substitute values into formula

Substitute $m=8$, $x_1=3$, $y_1=5$ into $y-y_1=m(x-x_1)$ to get $y-5=8(x-3)$

Answer:

$y-5=8(x-3)$