What does the line -4x + 3y = -7 look like?
horizontal
vertical
slanted right upwards
slanted right downwards
To determine the shape of the line -4x + 3y = -7, we can start by rearranging the equation to the slope-intercept form y = mx + b, where m is the slope and b is the y-intercept.
-4x + 3y = -7
3y = 4x - 7
y = (4/3)x - 7/3
From this equation, we can see that the coefficient of x (4/3 in this case) represents the slope of the line. In general, when the slope is positive, the line slants upwards from left to right, and when the slope is negative, the line slants downwards from left to right.
In this case, the slope is positive (4/3), so the line slants upwards from left to right. Thus, the line -4x + 3y = -7 is slanted right upwards.