Answer:
Slope = [tex]-\frac{3}{4}[/tex]
y-intercept = 2
Equation of the line 't': [tex]y=-\frac{3}{4}x+2[/tex]
Step-by-step explanation:
Slope of a line passing through two points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] is represented by,
Slope 'm' = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Since line 't' is passing through two points (0, 2) and (8, -4),
Slope of the line 't' = [tex]\frac{2+4}{0-8}[/tex]
m = [tex]-\frac{6}{8}[/tex]
m = [tex]-\frac{3}{4}[/tex]
Since y-intercept of a line is the value of 'y' for x = 0 [from point (0, 2) lying on this line]
Therefore, Y-intercept of line 't' = 2
Slope intercept of an equation is,
y = mx + b
where m = slope of the line
b = y-intercept
Therefore, equation of the line 't' will be,
[tex]y=-\frac{3}{4}x+2[/tex]
