Answer:
Do you want point-slope form, slope-intercept form, or standard form?
Question 1:
Point-slope form:
y-7=5(x-0)
Slope-intercept form:
y=5x+7
Standard form:
5x+y=7
Question 2:
Point-slope form:
y-7= -3(x+6)
Slope-intercept form:
y= -3x-2 or y= -3x+(-2)
Standard form:
3x+y=-11
Explanation:
1. Points: (-2, -3) and (0, 7).
Find slope: m=7-(-3)/0-(-2)=7+3/0+2=10/2=5
Point-slope form:
y-7=5(x-0)
Slope-intercept form:
y=5x+7
Standard form:
-5x+y=7
2. Points: (-6, 7) and (0, -2)
m= -2-7/0-(-6)= -9/6= -3
Point-slope form:
y-7= -3(x+6)
Slope-intercept form:
y= -3x-2 or y= -3x+(-2)
Standard form:
3x+y=-11
Hope this helps! :D