Answer:
y = ⅖x - 3
Step-by-step explanation:
Given the slope, (<em>m </em>) = ⅖, and the y-intercept, (<em>b</em>) = 3:
The <u>slope-intercept form</u> is y = mx + b where:
m = slope (or the rate of change), which details the steepness of the line.
b = y-intercept (or the initial value). This is the point on the graph where it crosses the y-axis.
Since we are given the slope of ⅖ and the y-intercept of -3, then we can substitute these values into the <u>slope-intercept form</u>: y = ⅖x - 3.
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The value of angle a will be 33°.
It should be noted that when we've parallel lines, then the angles will be equal. In this case, the value of angle a will be equal to that of angle b and this will be:
5x + 8 = 8x - 7.
Collect like terms .
8x - 5x = 8 + 7
3x = 15
Divide both side by 3
3x/3 = 15/3
x = 5
Therefore, the value of angle a will be:
= 5x + 8
= 5(5) + 8
= 25° + 8°
= 33°
The measure of angle a is 33°.
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We can re-create the quadratic equation by
(x -3) * (x -2)
x^2 -5x + 6 = 0