Answer:
y = 0.5x + 5
Step-by-step explanation:
Use the slope formula to find the slope of a line given the coordinates of two points on the line.
The slope formula is:
m = [tex]\frac{y{2}-y{1} }{x{2}- x{1} }[/tex] = [tex]\frac{y}{x}[/tex]
The coordinates of the first point represent x1 and y1. The coordinates of the second points are x2, y2.
Now let's fill in the formula with the points,
m = [tex]\frac{8-4}{9-7}[/tex]
Solve,
⇒ Y = 9 – 7 = 2
⇒ X = 8 – 4 = 4
m = [tex]\frac{8-4}{9-7}[/tex] = [tex]\frac{2}{4}[/tex]
Simplify,
⇒ [tex]\frac{2}{4}=\frac{1}{2}=0.5[/tex]
Therefore, the Equation of the line is y = 0.5x + 5.
