First, you should put it into y-intercept form:
7x+2y=-10
2y=-10-7x
Y=(-7x-10)/2
The slope is the coefficient of x right now, so the slope is -7/2.
The x-intercept’s y is always 0, so we plug that into the equation as y=0.
7x+2y=-10
7x+2(0)=-10
7x+0=-10
X=-10/7
Therefore, the x-intercept is (-10/7,0).
Now, you do the same thing for the y-intercept where x=0 to find your y-intercept.
Hope that made sense!
