Answer:
The slope-intercept is [tex]y = 2x -2[/tex] .
Step-by-step explanation:
-First, you need to find the slope by using the slope formula:
[tex]m =\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
-Second, use both points (6, 10) and (1, 0) for the formula:
[tex]m =\frac{0-10}{1-6}[/tex]
-Third, you solve:
[tex]m =\frac{0-10}{1-6}[/tex]
[tex]m = 2[/tex]
-Fourth, after you found the slope, you need to use the Point-slope form equation:
[tex]y - y_{1} = m (x -x_{1})[/tex] (where [tex]m[/tex] represents the slope, and [tex](x_{1},y_{1})[/tex] represents the first coordinate or the first point).
-Fifth, use the slope 2 and the first point (6, 10) for the Point-slope form equation:
[tex]y - 10= 2 (x -6)[/tex]
-Sixth, you solve the equation to get the slope-intercept form:
[tex]y - 10= 2 (x -6)[/tex]
[tex]y -10 = 2x -12[/tex]
[tex]y -10 +10 = 2x -12 +10[/tex]
[tex]y = 2x -2[/tex]
So, therefore, the slope-intercept is [tex]y = 2x -2[/tex] .
