Step-by-step explanation:
Question 1:
y = -5x - 20
It is already in slope-intercept form, therefore the y-intercept is -20.
When y = 0, -5x - 20 = 0, x = -4.
Hence the x-intercept is -4.
Question 2:
2x + 4y = 16
When x = 0, 2(0) + 4y = 16, 4y = 16, y = 4.
The y-intercept is 4.
When y = 0, 2x + 4(0) = 16, 2x = 16, x = 8.
Hence the x-intercept is 8.
Question 3:
2y + 3x = 7
When x = 0, 2y + 3(0) = 7, 2y = 7, y = 3.5.
The y-intercept is 3.5.
When y = 0, 2(0) + 3x = 7, 3x = 7, x = 7/3.
Hence the x-intercept is 7/3.
Question 4:
It is ambiguous as the line marks on both of the axis are not labelled. However we assume each space is 1 unit.
Reading off the graph,
we have x-intercept is 3 and y-intercept is -3.
