Answer:
The equation in the slope-intercept form will be:
Step-by-step explanation:
Given the points
Finding the slope between the points
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(-2,\:7\right),\:\left(x_2,\:y_2\right)=\left(-1,\:5\right)[/tex]
[tex]m=\frac{5-7}{-1-\left(-2\right)}[/tex]
[tex]m=-2[/tex]
We know that the slope-intercept of line equation is
[tex]y=mx+b[/tex]
where m is the slope and b is the y-intercept
substituting m = -2 and the point (-2, 7) to find the y-intercept 'b'
y = mx+b
7 = -2(-2) + b
7 = 4 + b
b = 7-4
b = 3
so the y-intercept = b = 3
substituting m = -2 and b = 3 in the slope-intercept form of line equation
y = mx+b
y = -2x + 3
Thus, the the equation in the slope-intercept form will be:
