Answer:
y = -5/3x -7
Explanation:
You want the slope-intercept equation of the line that goes through points (-3, -2) and (0, -7).
Slope
The slope is given by the formula ...
m = (y2 -y1)/(x2 -x1)
m = (-7 -(-2))/(0 -(-3)) = -5/3 . . . . . . use the given point coordinates
Intercept
The y-intercept is the point on the y-axis, where the y-value is -7.
Slope-intercept form
The slope-intercept form of the equation is ...
y = mx +b . . . . . . . line with slope m and y-intercept b
y = -5/3x -7 . . . . . . line with slope -5/3 and y-intercept -7