Question

Match each linear equation to its slope and y-intercept.

slope, y-intercept

-4x + 5y = 4
a) Slope: 4, Y-intercept: 5/4
b) Slope: 4/5, Y-intercept: 1
c) Slope: -4, Y-intercept: 1
d) Slope: -1, Y-intercept: 4/5

Answer 1

The linear equation -4x + 5y = 4 has a slope of 4/5 and a y-intercept of 4/5 when rewritten in slope-intercept form. The correct match is option (b) Slope: 4/5, Y-intercept: 4/5.

Step-by-step explanation:

To match the linear equation -4x + 5y = 4 to its slope and y-intercept, we first need to rewrite the equation in slope-intercept form, which is y = mx + b, where m represents the slope and b represents the y-intercept.

Let's solve for y:

5y = 4x + 4

Divide both sides by 5:

y = (4/5)x + (4/5)

Now we can see that the slope (m) is 4/5 and the y-intercept (b) is 4/5. So the correct match for the given equation -4x + 5y = 4 is (b) Slope: 4/5, Y-intercept: 4/5.